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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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