7. Show by induction that R; 31 =1- 3
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Inductive step: Assume that for some positive integer k, R=k, then 31=1-3(k-1). We want to show that R=k+1, then 31=1-3k. Starting with the left-hand side: R; 31 = (2R-1) + (2R-3) + ... + 3 + 1 = [(2k-1) + (2k-3) + ... + 3 + 1] + [2(k+1)-1] = R; 31 + Show more…
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