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If the sequence `a_1, a_2, a_3,....... a_n ,dot` forms an A.P., then prove that `a_1^2-a_2^2+a_3^2-a_4^2+.......+ a_(2n-1)^2 - a_(2n)^2=n/(2n-1)(a_1^2-a_(2n)^2)`

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