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Chapter 12: Q 110. (page 1185)

In the following exercises, find the sum of the first 30 terms of each arithmetic sequence.

16, 10, 4, 鈭�2, 鈭�8, 鈥�

Short Answer

Expert verified

The obtained sum is -2130.

Step by step solution

01

Step 1. Given Information.

The arithmetic sequence is16,10,4,鈭�2,鈭�8,鈥�.

02

Step 2. Find the common difference d.

Find the common difference of consecutive terms.

d=10-16=-6

And, now find the 30th term of the sequence.

a30=16+30鈭�1鈭�6=16鈭�174=鈭�158

03

Step 3. Use the sum formula.

Use the sum formula Sn=n2a1+anto find the sum of the thirtieth term.

S30=30216鈭�158=15鈭�142=鈭�2130

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Most popular questions from this chapter

Find the sum:鈭�i=1355i鈭�3

Write the first five terms of the sequence whose general term is an=n!(n+1)!.

In the following exercises, evaluate.

(a) 81 (b) 1010 (c) 60 (d)93

Find the fifth term of(a+b)8

Find a general term for the sequence whose first five terms are shown. 4, 8, 12, 16, 20, 鈥�
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