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If $S_{1}, S_{2}, S_{3}$ be the sum of n, 2n, 3n terms respectively of an A.P. Then

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$S_{3} = S_{1} + S_{2}$

$S_{3} = 2 (S_{1} + S_{2})$

$S_{3} = 3 (S_{2} - S_{1})$

$S_{3} = 3 (S_{1} + S_{2})$

answer is C.

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Detailed Solution

Let n =1
$S_{1} = 1, S_{2} = 1 + 2 = 3, S_{3} = 1 + 2 + 3 = 6$
3^rdoption satisfies

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