want to prove by induction that for every natural n, 3" – 1 is a multiple of 2, then the induction hypothesis is =+1 - 1 is a multiple of 2 for every natural k. - 1 is a multiple of 2 for some natural k. +1 1 is a multiple of 2 for some natural k. =1-1 is a multiple of 2 for every natural k. -1 is a multiple of 2 for every natural k.

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