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Chapter 12: Q 109. (page 1185)

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

8, 5, 2, 鈭�1, 鈭�4, 鈥�

Short Answer

Expert verified

The obtained sum is -1065.

Step by step solution

01

Step 1. Given Information.

The arithmetic sequence is 8,5,2,鈭�1,鈭�4,鈥�.

02

Step 2. Find the common difference d.

Find the common difference of consecutive terms.

d=5-8=-3

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

a30=8+30鈭�1鈭�3=8鈭�87=-79

03

Step 3. Use the sum formula.

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

localid="1645453590666" S30=3028鈭�79=15鈭�71=鈭�1065

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