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Chapter 11: Q 112. (page 1069)

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

鈭�15, 鈭�12, 鈭�9, 鈭�6, 鈭�3, 鈥�

Short Answer

Expert verified

The obtained value is 855.

Step by step solution

01

Step 1. Given Information. 

The arithmetic sequence is 鈭�15, 鈭�12, 鈭�9, 鈭�6, 鈭�3, 鈥�.

02

Step 2. Find the common difference d. 

Find the common difference of consecutive terms.

d=-12--15=3

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

a30=鈭�15+30鈭�13=-15+87=72

03

Step 3. Use the sum formula.

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

S30=302鈭�15+72=1557=855

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