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Chapter 12: 45 (page 816)
Find each sum
The solution is
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In Problems 17–28, write down the first five terms of each sequence.
In Problems 51–66, determine whether each infinite geometric series converges or diverges. If it converges, find its sum.
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?
In Problems 51–60, write out each sum.
In Problems 51–66, determine whether each infinite geometric series converges or diverges. If it converges, find its sum.
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