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Chapter 12: Q 111. (page 1185)

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

鈭�17, 鈭�15, 鈭�13, 鈭�11, 鈭�9, 鈥�

Short Answer

Expert verified

The obtained sum is 360.

Step by step solution

01

Step 1. Given Information.

The arithmetic sequence is 鈭�17, 鈭�15, 鈭�13, 鈭�11, 鈭�9, 鈥�.

02

Step 2. Find the common difference d.

Find the common difference of consecutive terms.

d=-15--17=2

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

a30=鈭�17+30鈭�12=-17+58=41

03

Step 3. Use the sum formula.

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

localid="1645454460792" S30=302鈭�17+41=1524=360

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