Sometric sequence the 8 tem is - and the 15" term is 64V2 a ( Find the exact formula for the n* term an for the sequence. Justify your answer. b. Determine if the infinite geometric series =1 an: where a, is the answer in part (a), 15 convergent or divergent. If it is convergent, then find its exact sum Ifit is divergent, explain why it is divergent.

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 6CC
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Let an be a geometric sequence with the 8th term is – and the 15th term is
64V2
a (
Find the exact formula for the n²h term an for the sequence. Justify your answer.
Determine if the infinite geometric series E1 an: where an is the answer in part (a), is
convergent or divergent. If it is convergent, then find its exact sum Ifit is divergent, explain
why it is divergent.
b. (
13D1
Transcribed Image Text:Let an be a geometric sequence with the 8th term is – and the 15th term is 64V2 a ( Find the exact formula for the n²h term an for the sequence. Justify your answer. Determine if the infinite geometric series E1 an: where an is the answer in part (a), is convergent or divergent. If it is convergent, then find its exact sum Ifit is divergent, explain why it is divergent. b. ( 13D1
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