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Math Help - Induction and Inequalities

  1. #1
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    Induction and Inequalities

    Hey guys, im not quite getting how to solve by induction for inequalities. An example of the work i have to do is as follows:

    Suppose that a and b are real numbers with 0 < b < a.
    Prove that if n is a positive integer, then

    <br />
 a^n - b^n \leq na^{n-1}(a-b)<br />

    Thanks a bunch in advance guys!
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