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If a1,a,a3...an are in A.P then prove th...

If `a_1,a_,a_3...a_n` are in A.P then prove that `a_1^2-a_2^2+a_3^2-a_4^2+....a_(2k-1)^2-a_(2k)^2= (k/(2k-1))(a_1^2-a_(2k)^2)`

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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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