Problem 9. Let n ∈ Z. Show that n(n + 1)(n + 2)(n + 3)(n + 4)(n + 5) is divisible by 3, 8, and 5.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 51E
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Problem 9. Let n ∈ Z. Show that n(n + 1)(n + 2)(n + 3)(n + 4)(n + 5) is divisible by 3, 8, and 5.

Problem 9. Let n E Z. Show that n(n+1)(n+2)(n+3)(n+4)(n+5) is divisible by 3, 8, and 5.
Transcribed Image Text:Problem 9. Let n E Z. Show that n(n+1)(n+2)(n+3)(n+4)(n+5) is divisible by 3, 8, and 5.
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