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    Discrete Math: Mathematical Induction

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    Without using Theorem 4.2.2, use mathematical induction to prove that
    P(n): 1 + 5 + 9 + ... + (4n - 3) = n(2n - 1) for all integers n >= 1

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    Solution Preview

    Proof: n=1, P(1)=1=n(2n-1), so the statement is true for n=1.
    Assume that the statement ...

    Solution Summary

    This solution provides proof of the statement provided through mathematical induction.