12) Given a₁ = 243 and ax+1 = ak a) Write the first 5 terms of the sequence. b) What type of sequence is determined by the terms in (a)? c) What is formula for the nth term? d) Find the eleventh term. e) Compute the sum of the first eleven terms. f) Compute the infinite sum 243 +81 +27+9+...

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.3: Geometric Sequences And Series
Problem 5ECP: The second term of a geometric sequence is 6, and the fifth term is 81/4. Find the eighth term....
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12) Given a₁ = 243 and ax+1=ak.
a) Write the first 5 terms of the sequence.
b) What type of sequence is determined by the terms in (a)?
c) What is formula for the nth term?
d) Find the eleventh term.
e) Compute the sum of the first eleven terms.
f) Compute the infinite sum 243 +81 +27+9+...
Transcribed Image Text:12) Given a₁ = 243 and ax+1=ak. a) Write the first 5 terms of the sequence. b) What type of sequence is determined by the terms in (a)? c) What is formula for the nth term? d) Find the eleventh term. e) Compute the sum of the first eleven terms. f) Compute the infinite sum 243 +81 +27+9+...
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