(b) Consider the degree n version of the AM/GM inequality, which states for positive real numbers x1, x 2,...,Xn that X1 + x2 + .…+ xn (i) Prove that if the AM/GM inequality is true for n = k, then it will be true for n = 2k. (ii) Prove that if the AM/GM inequality is true for n = k, then it will be true for n = k - 1. %3D (iii) Hence explain why the AM/GM inequality is true for all positive integers n.

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