SOLUTION: The first term of an arithmetic series is -12 and the last term is 22. The sum of all the terms of the series is 260. Find the common difference of the series.

Question 1136300: The first term of an arithmetic series is -12 and the last term is 22. The sum of all the terms of the series is 260. Find the common difference of the series.
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

The sum of all the terms of an arithmetic series is the number of terms, multiplied by the average of the first and last terms. From the given information,

There are 52 terms in the sequence. The 52nd term is the first term plus the common difference 51 times:

The common difference in the series is 2/3.
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