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Q.

$I f Σ n^{2} = 204, t h e n n =$

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a

8

b

9

c

7

d

10

answer is A.

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Detailed Solution

$Σ n^{2} = 204 \Rightarrow \frac{n (n + 1) (2 n + 1)}{6} = 204$

$\Rightarrow n (n + 1) (2 n + 1) = 6 \times 204$

$\Rightarrow n (n + 1) (2 n + 1) = 8 \times 9 \times 17$

$∴ n = 8$

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If Σ n2=204, then n=