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    Induction steps for two algebra problems

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    Hello,

    Can you please assist with the induction step for this problem?

    3. Prove that

    1 + 2 + 2^2 + ... + 2^(n-1) = 2^n - 1

    for every n > 1.

    5. Prove that for any real number x and for all numbers n > 1,

    x^n - 1 = (x - 1)(x^(n-1) + x^(n-2) + ... + x^(n-r) + ... + x + 1).

    © BrainMass Inc. brainmass.com October 10, 2019, 5:59 am ad1c9bdddf
    https://brainmass.com/math/basic-algebra/induction-steps-algebra-problems-524290

    Solution Summary

    This solution reviews the method of mathematical induction through working out these two questions step-by-step. From this one-page pdf solution attached, one will have a clear view of the mathematical induction.

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