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 = $
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
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