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Consider the sum (a) (b) Explain why the series is arithmetic. Find the sum A (i) in the form a In 2 Consider the sum A=In 2 + In 2² + In 2³ +...+ In 2²0 (ii) correct to 6 s.f. B = In 2+ (In 2)² + (In 2)³ +...+(In 2) 20 Explain why the series is geometric. In 2 (c) (d) 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)² (In 2)³ (e) Explain why such a design cannot have a total length of 3 meters.

Consider the sum (a) (b) Explain why the series is arithmetic. Find the sum A (i) in the form a In 2 Consider the sum A=In 2 + In 2² + In 2³ +...+ In 2²0 (ii) correct to 6 s.f. B = In 2+ (In 2)² + (In 2)³ +...+(In 2) 20 Explain why the series is geometric. In 2 (c) (d) 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)² (In 2)³ (e) Explain why such a design cannot have a total length of 3 meters.

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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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.
Transcribed Image Text: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.
Expert Solution
Step 1

The given series is A=ln2 +ln22+ln23+...+ln220.

(a) To Explain: why the series is arithmetic.

(b) To Find: The sum of the series (i) in terms of a ln2 (ii) correct to s.f.

As per policy, only first question is answered, please repost the other question.

 

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