The sum of first 7 terms of an AP is 10 and that of next 7 terms is 17. Find the AP.

Question

Philoid · Accepted Answer

To Find: AP

Given: Sum of first 7 terms = 10
Sum of next 7 terms = 17

According to the problem,

Sum of first 14 terms of the given AP is 10 + 17 = 27.

So we can say

Solving the equations we get 14a + 42d = 20…(i) and

14a + 91d = 27… (

subtracting (i)from (ii)we get 49d = 7

⇒a = 1