What You Need to Know About Consecutive Numbers

The concept of consecutive numbers may seem straightforward, but if you search the internet, youll find slightly differing views about what this term means. Consecutive numbers  are numbers that follow each other in order from smallest to largest, in regular counting order, notes  Study.com. Put another way,  consecutive numbers are numbers that  follow each other in order, without gaps, from smallest to largest, according to  MathIsFun. And  Wolfram MathWorld  notes: Consecutive numbers (or more properly, consecutive  Ã¢â‚¬â€¹integers) are integers n1  and n2  such that n2–n1   1 such that n2 follows immediately after n1.​ Algebra problems often ask about properties of consecutive odd or even numbers, or consecutive numbers that increase by multiples of three, such as 3, 6, 9, 12. Learning about consecutive numbers, then, is a bit trickier than is at first apparent. Yet it is an important concept to understand in math, particularly in algebra. Consecutive Number Basics The numbers 3, 6, 9 are not consecutive numbers, but they are consecutive multiples of 3, which means that the numbers are adjacent integers. A problem may ask about consecutive even numbers—2, 4, 6, 8, 10—or consecutive odd numbers—13, 15, 17—where you take one even number and then the very next even number after that or one odd number and the very next odd number. To represent consecutive numbers algebraically, let one of the numbers be x. Then  the next consecutive numbers would be x 1, x 2, and x 3. If the question calls for consecutive even numbers, you would have to ensure that the first number you choose is even. You can do this by letting the first number be 2x instead of x. Take care when selecting the next consecutive even number, though. It is  not  2x 1 since that would not be an even number. Instead, your next even numbers would be 2x 2,  2x 4, and 2x 6. Similarly, consecutive odd numbers would take the form: 2x 1, 2x 3, and 2x 5. Examples of Consecutive Numbers Suppose the sum of two consecutive numbers is 13. What are the numbers? To solve the problem, let the first number be x and the second number be x 1. Then: x ( x 1) 132x 1 132x 12x 6 So, your numbers are 6 and 7. An Alternate Calculation Suppose you had chosen your consecutive numbers differently from the start. In that case, let the first number be x - 3, and the second number be x - 4. These numbers are still consecutive numbers: one comes directly after the other, as follows: (x - 3) (x - 4) 132x - 7 132x 20x 10 Here  you find that x equals 10, while in the previous problem, x was equal to 6. To clear up this seeming discrepancy, substitute 10 for x, as follows: 10 - 3 710 - 4 6 You then have the same answer as in the previous problem. Sometimes  it may be easier if you choose different variables for your consecutive numbers. For example, if you had a problem involving the product of five consecutive numbers, you could calculate it using either of the following two methods: x (x 1) (x 2) (x 3) (x 4)or(x - 2) (x - 1) (x) (x 1) (x 2) The second equation is easier to calculate, however, because it can take advantage of the properties of the  difference of squares. Consecutive Number Questions Try these consecutive number problems. Even if you can figure out some of them without the methods discussed previously, try them using consecutive variables for practice: Four consecutive even numbers have a sum of 92. What are the numbers?Five consecutive numbers have a sum of zero. What are the numbers?Two consecutive odd numbers have a product of 35. What are the numbers?Three consecutive multiples of five have a sum of 75. What are the numbers?The product of two consecutive numbers is 12. What are the numbers?If the sum of four consecutive integers is 46, what are the numbers?The sum of five consecutive even integers is 50. What are the numbers?If you subtract the sum of two consecutive numbers from the product of the same two numbers, the answer is 5. What are the numbers?Do there exist two consecutive odd numbers with a product of 52?Do there exist seven consecutive integers with a sum of 130? Solutions 20, 22, 24, 26-2, -1, 0, 1, 25, 720, 25, 303, 410, 11, 12, 136, 8, 10, 12, 14-2 and -1 OR 3 and 4No. Setting up equations and solving leads to a non-integer solution for x.No. Setting up equations and solving leads to a non-integer solution for x.

All Wheel Drive And Luxury Sedan - 1323 Words

All-wheel drive and luxury to go with it. The Genesis G80 is a midsize luxury sedan, designed to take on such models as the Audi A6, BMW 5 Series, Cadillac CTS, Mercedes-Benz E-Class, and the Lexus GS. Up until last year, we knew this vehicle as the Hyundai Genesis, but as of 2017, Genesis is now its own brand. Thus, last year’s Hyundai Genesis is now this year’s Genesis G80, while the Hyundai Equus was replaced by an all-new G90 model. Consider the G80 as a refresh of the previous Genesis sedan model, adding more standard equipment as befits a luxury marque. The 2017 Genesis G80 is offered in seven model or package choices: Standard 3.8 RWD ($41,400), Standard 3.8 AWD ($43,900), 3.8 Premium Package RWD ($46,150), 3.8 Premium Package†¦show more content†¦The G80 is nearly identical to the previous Genesis, but with no signs of â€Å"H† or Hyundai badging. The winged Genesis logo is in place, underscoring what the new brand is all about. What is familiar about the G80 is everything else from its long, elegant visage to its hexagonal grille with six horizontal bars. Wrap-around headlamps, LED accent lights, and LED fog lamps complete this sedan’s frontal presentation. From the sides, Genesis opted for a more conservative approach, eschewing the dramatic lines and body sculpting found in such Hyundai models as the Sonata. That said, a distinctive character line at the door handle level adds interest along with rocker panel trim, and creased wheel wells. Furthermore, standard 18-inch alloy wheels add flair and distinction to this midsize luxury sedan. From the rear, you’ll find a trunk lip spoiler. Large wraparound combination lights, reflectors and dual exhaust ports are also present. Quiet, Luxurious Cabin I enjoy luxury cars in this class for a number of reasons. That they actually seat five people without compromise is one of those reasons. Sporty, firm bucket seats are up front, offering generous shoulder and hip bolstering. The split 60-40 fold-down rear bench seat includes a fold-0down center compartment with storage and two cup holders. As much as I like the third seat placement option, folding the middle position providesShow MoreRelatedThe Q50 Is An All New Model And The Replacement For The Infiniti G371086 Words   |  5 PagesIntroduced in 2014, the Infiniti Q50 is an all-new model and the replacement for the Infiniti G37. It is an entry-level, real-wheel drive luxury sedan; all-wheel drive is optional. One powertrain choice is available; a hybrid model can also be had. The 2015 Infiniti Q50 represents the second model year for this luxury sedan. This five-passenger rear-wheel drive model offers optional all-wheel drive. Six trim levels are available and a hybrid variant can also be ordered. Exterior The Infiniti Q50Read MoreThe Genesis : A New Model1296 Words   |  6 Pageshas arrived, a rebadged and upgraded version of the previous Hyundai Genesis Sedan. The new model takes direct aim at the midsize luxury sedan market and does so with well-equipped trim choices at a very competitive price. Model Year Updates The Genesis G80 is a new model name and one of two sedans tasked with launching the Genesis marque. In reality, the 2017 G80 represents a refresh of the 2016 Hyundai Genesis Sedan. Besides the name change, the G80 reflects an equipment upgrade. PreviouslyRead MoreThe Lexus Es Is A Luxury Sedan Requiring No Introduction1250 Words   |  5 PagesThe Lexus ES is a luxury sedan requiring no introduction. Now in its sixth generation, the ES line is one of two models that launched the Lexus brand in 1989 (the flagship LS is the other one) and remains Lexus’ top-selling model behind the RX SUV. The ES line has always represented a front-wheel drive model powered by a V6 engine. Only since 2013 has a hybrid 300h variant been offered, a surprising fact to some given that nearly every other Lexus line has offered a gas-electric hybrid. ModelRead MoreInfinitis Athletic Midsize Sedan1130 Words   |  5 PagesInfiniti’s athletic midsize sedan can now be had in an extended wheelbase version. The elongated model delivers best-in-class rear seat legroom. The luxury market is an intensely competitive one with BMW, Mercedes-Benz, and Lexus seated amongst the top sellers. The first two marques rely on diesels to supplement their gasoline offerings; Lexus augments its standard models with hybrids. Further down the luxury sales line Audi, Acura and Cadillac do battle, followed by Infiniti sitting in a distantRead MorePersuasive Essay About Luxury Cars1469 Words   |  6 PagesLuxury  Cars We can assume what luxury Car mean, well! These cars the most opulence, expensive and mind-boggling creation of technology. Luxury cars nowadays are pure technological wonders which integrates the finest material with strong machinery. Luxury automobiles are enchanting, alluring, delightful status which symbolises modern, rich man. Neither you and nor me can resist the charm of these cars. From the premature times, we always have been attracted to best, dominating and superior physicalRead MoreBrurung Case Study732 Words   |  3 PagesNot every brand offers large sedans, but Buick does so in its flagship LaCrosse. The 2018 LaCrosse straddles the line between mainstream and luxury, delivering a handsome package packed with the latest technologies. Best Value Buick offers the LaCrosse with standard front-wheel drive or available all-wheel drive. Choose the latter if you live wherever wintry conditions are a factor. For everyone else, the front-wheel drive Premium trim is our â€Å"best value† model. The 2018 LaCrosse Premium startsRead MorePursuit Case Study852 Words   |  4 PagesINFINITI’s 2018 mid-size luxury sedan lineup now features Q50 2.0T PURE, Q50 2.0T LUXE, Q50 3.0T LUXE, Q50 3.0T SPORT, Q50 3.0T RED SPORT, Q50 HYBRID LUXE. Each trim is available in Rear Wheel Drive (RWD) and All Wheel Drive (AWD). If you are looking for an outstanding performance four-door sedan near Bothell, WA, the Q50 features a powerful 3.0-liter V6 twin-turbo engine with up to 400 horsepower. The hybrid model is available with a 3.5-liter V6, electric motor, and lithium-ion battery, outputtingRead MoreNissan s Flagship Sedan Throws Down 300 Horses1544 Words   |  7 Pagesflagship sedan throws down 300 horses. The 2017 Nissan Maxima defies easy description. Or categorization. On the one hand, it is a mainstream midsize sedan. On the other hand, its upper-end trims rival the high-quality interiors you find in some luxury models. Adding further confusion to the mix is its 300-horsepower, V6 engine — a high output version of a tried and true engine found in other products, including the Altima sedan. What the 2017 Nissan Maxima represent is the flagship sedan for theRead MoreThe Ford Motor Companys Success1435 Words   |  6 PagesThe Ford Motor Company’s Lincoln marque has fallen far since 1998, the last year it was the top selling luxury automotive brand in the United States. These days, the segment is dominated by BMW, Lexus, and Mercedes-Benz with Audi, Cadillac, Acura, and Infiniti also outselling Lincoln. But there is hope for a brand that once seemed ready to follow Mercury to its own Ford-orchestrated demise. In 2015, sales rose by 7.1 percent, topping 100,000 units for the first time in years and at a pace that isRead MoreToyota Of The Chevrolet Bolt Introduced At The Detroit Auto Show Essay844 Words   |  4 Pagesgreen-lighted for production before the start of the Chicago Auto Show the following month. Toyota has teased us with a handful of concept vehicles down through the years, including the fetching FT-1, a delicious sports car some hope becomes the all-new Toyota Supra. Notably, on the Lexus side of the house we’ve seen the LF-LC, a product dangled before us at the 2012 NAIAS. That concept is now a production reality and comes to us in the form of the Lexus LC 500, a provocative high-end sports car

Governance Theories Principles and Practice †MyAssignmenthelp.com

Question: Discuss about theGovernance Theories Principles and Practice. Answer: Introduction Governance theories are theories which specify rules and processes of controlling and directing companies to balance stakeholders interest. Examples of such theories are agency and stewardship theories(Farrar,2008).This report compares and contrasts the two theories regarding their characteristics and features and identifies the most popular among them Similarities The phenomenon in both theories is concerned with the relationships that exist between a manager and a principal and the outcome of their relationship on organization performance. Both theories are used in the business world to facilitate an understanding of the various relationships existing in business as well as various business challenges by outlining the interests of stakeholders including employees, shareholders, vendors, customers and members of the public (Yusoff Alhaji, 2012). Differences Agency theory is founded on the belief that managers are likely to make decisions based on self-interest at the expense of shareholders if they are left unattended to. On the other hand, the main assumption of stewardship theory is that an agent can act on behalf of the principal if they are given authority and responsibility. It considers managers as good stewards with the capacity to act in the best interest of the principle. Stewardship theory, therefore, focuses on facilitation and empowerment unlike Agency theory which is centered on control and monitoring of the agent (Monks Minow, 2011). Agency theory is majorly concerned with finding solutions to problems that can come up in the relationships between an agent and the principal as a result of goals that are not aligned as well as differences in aversion to risk levels. Its central idea is that because a principal is too busy to do a certain job, he /she solicit the services of an agent who he monitors and motivates at the same time. Under this relationship, the owners of businesses are principals and managers are Agents while the Board of Directors acts as the monitors on behalf of the principal. On the other had stewardship is focused on the relationships between the success of an organization and managers. Stewards are focused on maximizing and protecting the stakeholder's wealth. Unlike Agency theory which is focused on satisfaction of the interests of the principal, Stewardship is focused on satisfaction of the interests of most stakeholders in an organization by increasing the wealth of an organization (Nicholso n Kiel, 2007).There are two notions in Agency theory, the first being that organizations are made up of two participants, shareholders and managers who have clear roles. It is also based on the notion that humans are self-centered and unwilling to let go of their interests at the expense of other peoples interest. In contrast, the behavior of a steward is collectivist and centered towards the organization. It is based on the notion that stewards are selfless and willing to let go of their interests at the expense of other organization stakeholders at all times to attain organizational objectives (Farrar,2008). Conclusion In conclusion, I believe that stewardship is the most popularly held view because of its focus on selflessness, empowerment, and facilitation, maximization and protection of stakeholders wealth and its focus on collectivism. References Farrar, J. (2008). Corporate governance: Theories, principles and practice. Oxford University Press. Monks, R. A. G., Minow, N. (2011). Corporate governance. Chichester: Wiley. Nicholson, G. J., Kiel, G. C. (2007). Can directors impact performance? A case?based test of three theories of corporate governance. Corporate Governance: An International Review, 15(4), 585-608. Yusoff, W. F. W., Alhaji, I. A. (2012). Insight of corporate governance theories. Journal of Business and management, 1(1), 52-63.

The Telecommunications Company of Brazil

Brazil is the ideal country to acquire a new telecommunications company. Due to military rule, the country has witnessed hyperinflation and its economy is not very liberal. Brazil has undergone major reforms which have ensured that the economy remains somewhat liberal. The country needs to adopt structural reforms so as to ensure a growth in its GDP.Advertising We will write a custom report sample on The Telecommunications Company of Brazil specifically for you for only $16.05 $11/page Learn More There is a great need to curb inflation and keep the interest rates low. The country has had high public debt and there is no political will to enact conservative spending policies. The revenue system for the country has not been up-to-date and it has a heavy tax burden, although its taxable base still remains narrow. Individual companies have devoted a lot of resources and manpower in trying to manage their tax affairs. The tax system is still complex, unwieldy , and porous. All these factors necessitate the acquisition of another telecommunications company (USA International Business Publications 50). Brazil is ideal as a telecommunications hub given that it has a high population, and the market is both large and growing. The country’s economy is diversified and it is witnessing political stability though political effectiveness is not yet up to date. This coupled with a tax system that is ineffective and a deficient labor market and infrastructure implies that the country is in dire need of another telecommunications company. With the country’s economy moving towards stability, it will be the best spot for such a company. There is a hope for the country’s sovereign risk to stabilize. The local capital market is deep and this is a solution to the liquidity and solvency problems. There is therefore a stable outlook towards the same. Fiscal consolidation will automatically increase the primary surplus. With the increase in the differential rates, the currency is bound to stabilize. The country’s banking sector has also been found to be stable. This is due to the fact that it was able to withstand the world economic recession that hit every sector of the economy across the globe. The banks in Brazil have a credit risk management system that is well developed and supportive.Advertising Looking for report on business economics? Let's see if we can help you! Get your first paper with 15% OFF Learn More The banking system is characterized by strong regulatory and supervisory strategies. With such stability, the telecommunications company is bound to blossom as most of today’s telecommunications companies carry out their activities hand in hand with the banking sector. A good example of this is the electronic money transfer system that has most of its activities linked to the bank. The economic structure is also very vital in the success of any telecommunication company. Wit h an export base that is diversified and a financial system that is well-regulate, the country will be at the pick in terms of economic growth. The telecommunications company will be of great importance particularly when it comes to improving the countries revenue collection system. The country’s political leaders must therefore make and implement laws that will provide a fertile ground for the development of the telecommunications company (Polishuk 200-205). The telecommunications company will revolutionize the country’s economy through the adoption of the e-business that is stable and with very limited risks. There is limited risk for fraud and theft. With the introduction of a paperless economy, there is efficiency and speed in business transactions. The country forms a large section of the market for information technology in Latin America. The industry produces computers and other telecommunications equipment that are worth billions of dollars. The government poli cies seem to be in support of the telecommunication advancements. Internet penetration has greatly increased within the last five years. This is vital for the growth of Brazil’s economy. Services like e-banking, e-learning and other online activities significant to the growth of the economy will be availed to the people and hence boost the economic growth. There is however a need to upgrade these services to reach the international standards. This there necessitates the establishment of another telecommunications company. The sales accrued from e-commerce have doubled in the last two years and the sales of personal computers and other communication gadgets have been increasing with time. Telecommunication companies are sustainable and frequently pay dividends aimed at boosting cash flow as well as maintaining a share price that is strong.Advertising We will write a custom report sample on The Telecommunications Company of Brazil specifically for you for only $1 6.05 $11/page Learn More The companies are not hit as hard as other sectors of the economy in the event of an economic recession. The country is strategically placed and it is closer to the world great economies like the United States and Mexico. There has been a significant trading between New York and Brazil. The telecommunications company is therefore able to tap in the neighboring markets and maximize the profits. The telecommunications companies are known for high yielding stocks and they are fast growing companies with a greater competitive advantage. The advancement in the telecommunications technology will help the country to shift from over depending on the export earnings and become in information economy. The telecommunications company will ensure that the country’s wealth resources are equally distributed to all sections of the country (Polishuk 67-80). Works Cited Polishuk, Paul. â€Å"Brazil.† Brazil Monthly Newsletter 10 November 2010: 67- 80. Polishuk, Paul. Brazil Telcom. Salvador: Information Gatekeepers, 2009. USA International Business Publications. Brazil Telecommunication Industry Business  Opportunity Handbook. Washington : Intl Business Pubns USA, 2005. Print. This report on The Telecommunications Company of Brazil was written and submitted by user Emelia H. to help you with your own studies. You are free to use it for research and reference purposes in order to write your own paper; however, you must cite it accordingly. You can donate your paper here.