Is 0 a term of the AP 31, 28, 25, …? Justify your answer.

Question

Philoid · Accepted Answer

No

Let 0 be the n th term of given AP. Such that a_n = 0.

Given that first term a = 31, common difference, d = 28 – 31 = - 3

The nth term of an AP, is

a_n = a + (n - 1)d

0 = 31 + (n - 1) (- 3)

Since, n should be positive integer. So, 0 is not a term of the given AP.