Question

Given an arithmetic progession -52, -48, -44, ... Find the number of terms such that the sum is zero.

Answer 1

If we have a sum of 0 the last term will be 52. (because 52+-52 = 0, 48+-48 = 0 and so on)
The common difference is + 4
so we have 52 / 4 = 13 terms before the 0 term and 13 terms after the 0 term
So the number of terms = 2(13) + 1 = 27 Answer