Let a, be a geometric sequence with the 8h term is and the 15th term is a. Find the exact formula for the nth term a, for the sequence. Justify your answer. b. Determine if the infinite geometric series En=1 an, where a, is the answer in part (a), is convergent or divergent. If it is convergent, then find its exact sum. If it 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
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Let a, be a geometric sequence with the 8h term is and the 15th term is
64V2
a. Find the exact formula for the nth term a, for the sequence. Justify your answer.
b. Determine if the infinite geometric series En=1 an. where a, is the answer in part (a), is
convergent or divergent. If it is convergent, then find its exact sum. If it is divergent, explain
why it is divergent.
Transcribed Image Text:1 Let a, be a geometric sequence with the 8h term is and the 15th term is 64V2 a. Find the exact formula for the nth term a, for the sequence. Justify your answer. b. Determine if the infinite geometric series En=1 an. where a, is the answer in part (a), is convergent or divergent. If it is convergent, then find its exact sum. If it is divergent, explain why it is divergent.
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