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Chapter 12: Q 21. (page 808)

Problems 17鈥�28, write down the first five terms of each sequence.

cn=-1n+1n2

Short Answer

Expert verified

The first five terms of the given sequence are1,-4,9,-16,25

Step by step solution

01

Step 1. Write the given sequence.

The given sequence iscn=-1n+1n2

02

Step 2. Find the first five terms of the sequence.

To find the five terms in the given sequence we substitute

1,2,3,4and5inton

c1=-11+112=1c2=-12+122=-4c3=-13+131=9c4=-14+142=-16c5=-15+152=25

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Most popular questions from this chapter

In Problems 71-82, find the sum of each sequence.

鈭�k=840(-3k)

In Problems 51鈥�60, write out each sum.

鈭�k=1nk22

In Problems 37鈥�50, a sequence is defined recursively. Write down the first five terms.

a1=2;an=2+an-1

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鈥檚 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?

True or False. The notation a5represents the fifth term of a sequence.
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