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Challenge Problem Use the Principle of Mathematical Induction to prove that
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Precalculus
- Proving a Statement Use mathematical induction to show that the given statement is true. 23. If x1, then (1+x)n1+nx for all natural numbers n.arrow_forwardPentagonal Numbers The numbers 1, 5, 12, 22, 35, 51, . . . are called pentagonal numbers because they represent the numbers of dots in the sequence of figures shown below. Use mathematical induction to prove that the n th pentagonal number Pn is given by Pn=n3n12.arrow_forward
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