The sum of first ' \( n \) ' terms of the series
\( 1^{2}+2.2^{2}+2.3^{2}+2.4^{2}+\ldots \ldots .... VIDEO
The sum of first ' \( n \) ' terms of the series
\( \mathrm{P} \)
\( 1^{2}+2.2^{2}+2.3^{2}+2.4^{2}+\ldots \ldots \) is \( \frac{n(n+1)^{2}}{2} \) when ' \( n \) ' is even. If ' \( n \) ' is odd, the sum is
W.
(1) \( \frac{n^{2}(n+3)}{2} \)
(2) \( \frac{n\left(4 n^{2}-1\right)}{3} \)
(3) \( \frac{3 n(n+1)^{2}}{8} \)
(4) \( \frac{3 n(n+1)}{2} \)
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