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Prove by induction that (1)/(1*3)+(1)/...

Prove by induction that
`(1)/(1*3)+(1)/(3*5)+(1)/(5*7)+ . . .+(1)/((2n-1)(2n+1))=(n)/(2n+1)(ninNN)`.

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The correct Answer is:
`(1)/(1*3)+(1)/(3*5)+(1)/(5*7)+ . . .+(1)/((2n-1)(2n+1))=(n)/(2n+1),(ninNN)`.
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CHHAYA PUBLICATION-MATHEMATICAL INDUCTION -Sample Questions for Competitive Exams
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