Prove the following statements with either induction, strong induction or proof by smallest counterexample: Prove that if n = (2^k) - 1 for some natural number k,then every entry in the nth row of Pascal’s triangle is odd.

Prove the following statements with either induction, strong induction or proof by smallest counterexample: Prove that if n = (2^k) - 1 for some natural number k,then every entry in the nth row of Pascal’s triangle is odd.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 59RE

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Question

Prove the following statements with either induction, strong induction or proof by
smallest counterexample:

Prove that if n = (2^k) - 1 for some natural number k,then every entry in the nth row of Pascal’s
triangle is odd.

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