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Formula for Sum of n Terms of an AP

If the sum of...

Question

If the sum of n terms of an A.P. is $(p n + q n^{2})$ , where p and q are constant, then common difference is

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p+q

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2(p+q)

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Solution

The correct option is B
2q

$S_{n} = p n + q n^{2}$ $a_{1} = S_{1}$ = p + q, $a_{2} = S_{2} - S_{1}$ = $p + 3 q$ therefore common difference= $a_{2} - a_{1} = 2 q$

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