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 (1) state why the associated series has a sum to infinity (ii) calculate this sum to infinity.
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 (1) state why the associated series has a sum to infinity (ii) calculate this sum to infinity.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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
(ii) calculate this sum to infinity.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0114c64b-7353-4a4d-b675-4a8011e44828%2F5811bc24-ce2f-4013-b4de-f02a5fb85e6c%2Fa4gxl3l_processed.jpeg&w=3840&q=75)
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
(ii) calculate this sum to infinity.
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