The first three terms of a sequence are given by 5x + 8, -2r+1, x-4 (a) When x= 11, show that the first three terms form the start of a geometric sequence, and state the value of the common ratio. (b) Given that the entire sequence is geometric for x- 11 () state why the associated series has a sum to infinity (H) calculate this sum to infinity.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.2: Arithmetic Sequences And Partial Sums
Problem 2ECP: Find a formula for the nth term of the arithmetic sequence whose common difference is 5 and whose...
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The first three terms of a sequence are given by
5x + 8, -2r+1, x-4
(a) When x= 11, show that the first three terms form the start of a geometric
sequence, and state the value of the common ratio.
(b) Given that the entire sequence is geometric for x- 11
() state why the associated series has a sum to infinity
(1) calculate this sum to infinity.
Transcribed Image Text:The first three terms of a sequence are given by 5x + 8, -2r+1, x-4 (a) When x= 11, show that the first three terms form the start of a geometric sequence, and state the value of the common ratio. (b) Given that the entire sequence is geometric for x- 11 () state why the associated series has a sum to infinity (1) calculate this sum to infinity.
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