If the sum of n terms of an A.P. is (pn + qn 2 ), where p and q are constants, find the common difference.

Question

Philoid · Accepted Answer

Given,

Sum of n terms of A.P. = pn + qn²

We know,

∴

Comparing the coefficients of n² on both sides, we obtain

⇒ d = 2q

∴ the common difference of the A.P. is 2q.