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Prove by the method of induction, (1)/(...

Prove by the method of induction,
`(1)/( 1.3) + (1)/( 3.5) + (1)/( 5.7) + . . . + (1)/( (2n - 1)(2n + 1)) = (n)/(2 n +1)`

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The correct Answer is:
`(n)/( 2n + 1)`
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