1. Consider this series:5 +10 20 40+ +3 9 27(a) Write the series using sigma notation.+(c) If the series converges, evaluate the sum.80 160+81 243+...(b) Does the series converge or diverge? Justify your answer.

Answered: Image /qna-images/answer/94d45531-f25e-4c75-80c1-5e93d19d58fd.jpg

Answered: 1. Consider this series: 10 20 3 9 (a)…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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14 9.3
Consider the sum (a) (b) Consider the sum Explain why the series is arithmetic. Find the sum A (i) in the form a In 2 (ii) correct to 6 s.f. (c) (d) A=In 2 + In 2² + In 2³ +...+ In 220 Explain why the series is geometric. Find the sum B correct to 6 s.f. The following design consists of rectangular boxes of lengths In 2, (In 2)², (In 2)³, .. in meters. In 2 B = In 2 + (In 2)² + (In 2)³ + ... +...+(In 2) 20 (In 2)² (In 2)³ (e) Explain why such a design cannot have a total length of 3 meters.
12
2. Express the series as an infinite sum, then determine if it converges. Justify your reasoning using the methods of the course. 1 1 1. 1+=+7+ 9. 13

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1. Consider this series: 10 20 3 9 (a) Write the series using sigma notation. 5+ + 40 80 27 81 + () If the series converges, evaluate the sum. 160 243 +... (b) Does the series converge or diverge? Justify your answer.