Find the sum of the following APs: -37, -33, -29, ……, to 12 terms.

Question

Philoid · Accepted Answer

In the above series

First term (a) = -37

Common different (d) = n₂ – n₁ = -33 – (-37) = 4

No. Of terms (n) = 12

The sum of the series is given by S_n = [2a + (n-1) d]

= [2×(-37) + (12-1)4]

= -180

Find the sum of the following APs:-37, -33, -29, ……, to 12 terms.