2.152.All the expressions of an arithmetic sequence (a,) are positive and different from each other. The first, third and seventh terms of the sequence (a,)are equal to the first, second and third terms of a certain geometric sequence respectively(b,). Show that the quotient of the sequence (b,) is prime.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.1: Sequences And Their Notations
Problem 70SE: Calculate the first eight terms of the sequences an=(n+2)!(n1)! and bn=n3+3n32n , and then make a...
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2.152.All the expressions of an arithmetic sequence (a,) are positive and different from each other. The
first, third and seventh terms of the sequence (a,) are equal to the first, second and third terms of a
certain geometric sequence respectively(b,). Show that the quotient of the sequence (b,) is prime.
Transcribed Image Text:2.152.All the expressions of an arithmetic sequence (a,) are positive and different from each other. The first, third and seventh terms of the sequence (a,) are equal to the first, second and third terms of a certain geometric sequence respectively(b,). Show that the quotient of the sequence (b,) is prime.
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