Let b be a fixed integer and j a fixed positive integer.

Chapter 5, Problem 28E

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Let b be a fixed integer and j a fixed positive integer. Show that if P(b), P(b + 1) P(b + j) are true and [P(b) ? P(b + 1) a ? ? ? ?? P(k) ]? P(k + 1) is true for every integer k ?b + j, then P(n) is true for all integers n with n? b.

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