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Chapter 12: Q. 15 (page 816)
Find the th term of the arithmetic sequence whose initial term and common difference are given. What is the fifty-first term?
The th term is and the fifty-first term is.
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In Problems 51–66, determine whether each infinite geometric series converges or diverges. If it converges, find its sum.
In Problems 61–70, express each sum using summation notation.
In Problems 17–28, write down the first five terms of each sequence.
In Problems 29–36, the given pattern continues. Write down the nth term of a sequence suggested by the pattern.
Roth IRA On January 1, 1999, Bob decided to place \(500 at the end of each quarter into a Roth Individual Retirement Account.
(a) Find a recursive formula that represents Bob’s balance at the end of each quarter if the rate of return is assumed to be 8% per annum compounded quarterly.
(b) How long will it be before the value of the account exceeds \)100,000?
(c) What will be the value of the account in 25 years when Bob retires?
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