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Show by the Principle of Mathematical induction that the sum `S_n`, of the nterms of the series `1^2 + 2xx 2^2 + 3^2 + 2xx 4^2+5^2 +2 xx 6^2 +7^2+..... ` is given by `S_n={(n(n+1)^2)/2`, if n is even , then `(n^2(n+1))/2` , if n is odd

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