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12) Given a₁ = 243 and ax+1=²ak. 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+...

12) Given a₁ = 243 and ax+1=²ak. 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+...

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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