For any odd integer \[n\ge 1\],\[{{n}^{3}}-{{(n-1)}^{3}}+...........+{ – McqOptions

MCQOPTIONS

1.	For any odd integer \[n\ge 1\],\[{{n}^{3}}-{{(n-1)}^{3}}+...........+{{(-1)}^{n-1}}{{1}^{3}}=\] [IIT 1996]
A.	\[\frac{1}{2}{{(n-1)}^{2}}(2n-1)\]
B.	\[\frac{1}{4}{{(n-1)}^{2}}(2n-1)\]
C.	\[\frac{1}{2}{{(n+1)}^{2}}(2n-1)\]
D.	\[\frac{1}{4}{{(n+1)}^{2}}(2n-1)\]
Answer» E.

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