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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The post 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. appeared first on Superb Professors.

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