The 4th term of a geometric series is 6. The 7th term is 162. a) Find the

Question:

The 4th term of a geometric series is 6. The 7th term is 162.

a) Find the 1st term and the common ratio, r.

b) Show that the sum of the first n terms can be written as

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Complete Pure Mathematics 1 For Cambridge International AS & A Level

ISBN: 9780198427438

2nd Edition

Authors: Jean Linsky, Brian Western, James Nicholson

See More Books

Question Posted: Apr 14, 2023 10:30 AM

Merry Co. sells Christmas angels. Merry determines that at the end of December, they have the following aging schedule of Accounts Receivable: (a) Compute the total estimated uncollectible amounts....
The explicit formula for a partial sum of a geometric series is Sn = u1(1 -rn) / 1 - r. To find the sum of an infinite geometric series, you can imagine substituting for n. Explain what happens to...
Company A's fixed costs were $42,000, its variable costs were $24,000 and its sales were $80,000 for the sale of 8,000 units. The company's break-even point in units is: a. 7,000 b. 8,000 c. 5,000 d....
To eliminate service inconsistencies, companies rely on ___________ and ___________.
HCS Mfg. makes its product for $60 and sells it for $130 per unit. The sales staff receives a 10% commission on the sale of each unit. Its June income statement follows. HCS MFG. Income Statement For...
State the two characteristics that make international IS management challenging. Explain the difference between international systems development and international software development. Using the...
What are some types of project status information you could suggest the project team leaders begin to collect in order to assess the status of their projects? As part of the effort to upgrade the IT...
Keesha Co. borrows $200,000 cash on November 1, 2015, by signing a 90-day, 9% note with a face value of $200,000. 1. On what date does this note mature? (Assume that February of 2015 has 28 days.) 2....
Fallon Company uses flexible budgets to control its selling expenses. Monthly sales are expected to range from $170,000 to $200,000. Variable costs and their percentage relationship to sales are...
Answer the following question. How many U.S. dollars can you buy for C$750 if one Canadian dollar is worth US$0.8168?
The sum of the first n terms of an arithmetic progression is n 3n. Write down the 10th term.
The first three terms of an arithmetic progression are 1/2, x and 25. The first three terms of a geometric progression are x + 1/4, and y, where x and y are positive numbers. Find the value of x and...
Suppose that Serendipity Bank has excess reserves of $8000 and checkable deposits of $150,000. If the reserve ratio is 20 percent, what is the size of the banks actual reserves?
Part 2 Problems 1. Jets Corp. maintains its books on a cash basis. However, the company obtained a loan of $150,000 from a local bank. The bank requires Jets Corp. to provide annual financial...
Company A has a well-developed brand website. They send e-mails to customers and prospects. However, the company has never used social media or mobility marketing. You have been called upon to...
Is Time Running Out for Bed Bath & Beyond case study and answer following questions: 3-13 analyze bed bath & beyond using the competitive forces and value chain models. 3-14 define the problem faced...
Marcus expresses an interest in learning more about Katie's job position, telling her that he hopes to be in the position himself one day. Katie decides to take Marcus under her wing and teach him...
Losing to a Weaker Foe What began as a heavily conventional military campaign to unseat the regime of Saddam Hussein had become a bitter, unconventional struggle against frustrated Sunnis who...
What are strategic information systems?
1. As a general strategy, would you recommend that Carl take an aggressive approach to capacity expansion or more of a wait-and-see approach? 2. Should Carl go with the option for one facility that...
Suppose we wish to perform a test to assess whether the correlation coefficient is significantly different from 0. State the hypotheses to be tested, the algebraic form of the test statistic used to...
Perform the test in Problem 11.54, report a twotailed p-value, and state your conclusion clearly, in context? Cardiovascular Disease The STRIP study (Special Turku Coronary Risk Factor Intervention...
Provide a 95% confidence interval for the correlation coefficient. The mean sd for waist circumference was 72.8 7.8 cm. The mean sd for HDL-C was 20.7 4.1 mg/dl. Cardiovascular Disease The STRIP...
Accounting changes fall into one of three categories. Identify and explain these categories and give an example of each one.
Machinery is purchased on May 15, 2015 for $120,000 with a $10,000 salvage value and a five year life. The half year convention is followed. What method of depreciation will give the highest amount...
Flint Corporation was organized on January 1, 2020. It is authorized to issue 14,000 shares of 8%, $100 par value preferred stock, and 514,000 shares of no-par common stock with a stated value of $2...

The 4th term of a geometric series is 6. The 7th term is 162. a) Find the

Question:

S = 71 3"-1 9

Step by Step Answer:

a Let the first term be a and the common ratio be r Then the fourth term of the geometric series is ...View the full answer

Complete Pure Mathematics 1 For Cambridge International AS & A Level

Students also viewed these Mathematics questions