Let n be any integer. If n=3k+5 for some integer k. Does 91 6n-3 No, because 6n-3= 18k+30-3 which is 9*(2k+3) No, because 9 is greater then 6n-3 Yes, because 6n-3= 18k+30-3 which is a multiple of 9 Yes, because 6n-3= 18k+30-3 which is a factor of 9

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 56E
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Good hand writing and circle the answer please, this is a discrete math Question( 22
Let n be any integer. If n=3k+5 for some integer k. Does 91 6n-3
No, because 6n-3= 18k+30-3 which is 9*(2k+3)
No, because 9 is greater then 6n-3
Yes, because 6n-3= 18k+30-3 which is a multiple of 9
Yes, because 6n-3= 18k+30-3 which is a factor of 9
Transcribed Image Text:Let n be any integer. If n=3k+5 for some integer k. Does 91 6n-3 No, because 6n-3= 18k+30-3 which is 9*(2k+3) No, because 9 is greater then 6n-3 Yes, because 6n-3= 18k+30-3 which is a multiple of 9 Yes, because 6n-3= 18k+30-3 which is a factor of 9
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