Question: Conjecture a formula for the sum 1/1*3+ 1/3*5 + ... + 1/(2n-1)(2n+1), and prove the conjecture by using Mathematical Induction. Please explain the conjectured formula.

Conjecture a formula for the sum 1/1*3+ 1/3*5 + ... + 1/(2n-1)(2n+1), and prove the conjecture by using Mathematical Induction.

Please explain the conjectured formula.

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