Let the sequence \[{{a}_{1}},{{a}_{2}},{{a}_{3}},.............{{a}_{2n}}\] form an A.P. Then \[a_{1}^{2}-a_{2}^{2}+a_{3}^{3}-.........+a_{2n-1}^{2}-a_{2n}^{2}=\]

\[\frac{2n}{n-1}(a_{2n}^{2}-a_{1}^{2})\]

\[\frac{n}{2n-1}(a_{1}^{2}-a_{2n}^{2})\]

\[\frac{n}{n+1}(a_{1}^{2}+a_{2n}^{2})\]

Let the sequence \[{{a}_{1}},{{a}_{2}},{{a}_{3}},.............{{a}_{2n

1.	Let the sequence \[{{a}_{1}},{{a}_{2}},{{a}_{3}},.............{{a}_{2n}}\] form an A.P. Then \[a_{1}^{2}-a_{2}^{2}+a_{3}^{3}-.........+a_{2n-1}^{2}-a_{2n}^{2}=\]
A.	\[\frac{n}{2n-1}(a_{1}^{2}-a_{2n}^{2})\]
B.	\[\frac{2n}{n-1}(a_{2n}^{2}-a_{1}^{2})\]
C.	\[\frac{n}{n+1}(a_{1}^{2}+a_{2n}^{2})\]
D.	None of these
Answer» B. \[\frac{2n}{n-1}(a_{2n}^{2}-a_{1}^{2})\]

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Let the sequence \[{{a}_{1}},{{a}_{2}},{{a}_{3}},.............{{a}_{2n}}\] form an A.P. Then \[a_{1}^{2}-a_{2}^{2}+a_{3}^{3}-.........+a_{2n-1}^{2}-a_{2n}^{2}=\]

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