A partial sum of an arithmetic sequence is given. Find the sum.−7 + − 72 + 0 + 72 + 7 +    + 70

Question

A partial sum of an arithmetic sequence is given. Find the sum.−7 + − 72 + 0 + 72 + 7 +    + 70
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Solution 1

The given sequence is an arithmetic sequence, where each term increases by 72 from the previous term.

Step 1: Identify the first term (a) and the common difference (d) In this case, the first term a = -7 and the common difference d = 72.

Step 2: Identify the last term (l) The last term l = 70.

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