Answer :

**Given: Sum of n terms of A.P. = pn + qn ^{2}**

We know,

a = first term and

d = common difference

Now equating the given Sum with the formula we get,

∴

Comparing the coefficients of n^{2} on both sides, we obtain

⇒ d = 2q

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

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