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    Guessing a Formula for a Summation and Proving it by Mathematical Induction

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    1. Guess a formula for 1+3+...+(2n-1) by evaluating the sum for n=1,2,3, and 4 (for n=1, the sum is simply 1).

    2. Prove your formula using mathematical induction.

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    Solution Summary

    A formula is guessed and proven by mathematical induction. A formula using mathematical induction is determined.