(a) If the arithmetic progression whose common difference is nonzero, the sum of first 3n terms is equal to the sum of next n terms. Then, find the ratio of the sum of the first 2n terms to the sum of next 2n terms. (b) The sum of n terms of two arithmetics progression are in the ratio 5n+4 : 9n+6 . Find the ratio of their 18th terms .

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section: Chapter Questions
Problem 6T
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(a) If the arithmetic progression whose common difference is nonzero, the sum of first 3n terms is equal to the sum of next n terms. Then, find the ratio of the sum of the first 2n terms to the sum of next 2n terms.

(b) The sum of n terms of two arithmetics progression are in the ratio 5n+4 : 9n+6 .

Find the ratio of their 18th terms .

 

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