If a(1), a(2), a(3),…, a(2k) are in A.P....

If `a_(1), a_(2), a_(3),…, a_(2k)` are in A.P., 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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CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 B (Long Answer Type Questions)

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