The sum to \[n\] terms of the infinite series \[{{1.3}^{2}}+{{2.5}^{2}}+{{3.7}^{2}}+..........\infty \] is [AMU 1982]

\[\frac{n}{6}(n+1)(2n+1)(3n+1)\]

\[\frac{n}{6}(n+1)(6{{n}^{2}}+14n+7)\]

The sum to \[n\] terms of the infinite series \[{{1.3}^{2}}+{{2.5}^{2}

1.	The sum to \[n\] terms of the infinite series \[{{1.3}^{2}}+{{2.5}^{2}}+{{3.7}^{2}}+..........\infty \] is [AMU 1982]
A.	\[\frac{n}{6}(n+1)(6{{n}^{2}}+14n+7)\]
B.	\[\frac{n}{6}(n+1)(2n+1)(3n+1)\]
C.	\[4{{n}^{3}}+4{{n}^{2}}+n\]
D.	None of these
Answer» B. \[\frac{n}{6}(n+1)(2n+1)(3n+1)\]

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The sum to \[n\] terms of the infinite series \[{{1.3}^{2}}+{{2.5}^{2}}+{{3.7}^{2}}+..........\infty \] is [AMU 1982]

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