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ak+1 Altera Longiores American Mathematical Monthly binomial theorem called mathematical induction conclusions contains a least Council of Teachers definition divisible by x+y example Fermat Florian Cajori formula is true Fundamentals for Advanced hair color high school level hypothesis I. S. Sominskii induction and deduction inductive reasoning Infinite Descent interesting number Jakob Bernoulli John Wallis least element logic Mathematical Monthly XXV Mathematics for High Method of Mathematical middle peg Morris Kline move one disc National Council natural number contains ninth grade number of moves number of primes Numerus Parte Altera Origin of Mathematical Penny Cyclopaedia positive integral values principle of mathematical problems proof to show Proposition rearranged to form recursive School Mathematics sequence of assertions Sequential step set containing set theory solutions statement Teachers of Mathematics tical induction topic Tower of Hanoi true for n=k Twenty-eighth Yearbook W. A. Young W. H. Bussey Well-Ordering Property whole number