Q. 84.0( 104 Votes )

If the sum

Answer :

Given: Sum of n terms of A.P. = pn + qn2

We know,

where, n = nth term
a = first term and
d = common difference
Now equating the given Sum with the formula we get,



Comparing the coefficients of n2 on both sides, we obtain



d = 2q


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

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