Any product of two or more integers is a result of successive multiplications of two

Chapter 5, Problem 14

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Any product of two or more integers is a result of successive multiplications of two integers at a time. For instance, here are a few of the ways in which \((a_{1}a_{2}a_{3}a_{4}\) might be computed: \((a_{1}a_{2})(a_{3}a_{4})\) or \(((a_{1}a_{2})a_{3})a_{4})\) or \(a_{1}((a_{2}a_{3})a_{4})\). Use strong mathematical induction to prove that any product of two or more odd integers is odd.

Text Transcription:

a_1a_2a_3a_4

(a_1a_2)(a_3a_4)

((a_1a_2)a_3)a_4)

((a_2a_3)a_4)

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