SOLUTION: The 28th term of an AP is -5. Find the common difference if its first term is 31.

Question 1134391: The 28th term of an AP is -5. Find the common difference if its first term is 31.
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The 28th term is the first term plus the common difference 27 times.

Solve for d.
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.

There are 27 equal gaps between the 1-st and the 28-th terms, while the distance between these terms is 31 - (-5) = 36. Hence, the common difference (the gap between the neighbor terms) is = . ANSWER CHECK. = = 31 - . = 31 - = 31 - 36 = -5. ! Correct !

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