Explanation Given: Achilles runs 5 times to the tortoise’s 1 mi/hr . Result used: The sum of the geometric series is ∑ k = 0 ∞ a r k = a 1 − r if | r | < 1 (1) Calculation: Let the tortoise take 1 hour cover the first mile then the Achilles takes 1 5 hour to cover the first mile. If the tortoise reaches the point more than 1 5 mile , then Achilles reach 1 25 hour to reach this new point. Let the tortoise reaches the new point 1 25 of a mile. Then, Achilles takes 1 125 hour reach the same point which the tortoise reached. Add the times up, 1 5 + 1 25 + 1 125 + ⋯ Here, the geometric series 1 5 + 1 25 +

Student Solutions Manual, Single Variable for Calculus: Early Transcendentals

2nd Edition

ISBN: 9780321954329

Author: William L. Briggs, Lyle Cochran, Bernard Gillett

Publisher: PEARSON

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Chapter 8.3, Problem 76E

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To find: The time if Achilles catch the tortoise.

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Chapter 8.3, Problem 75E

Chapter 8.3, Problem 77E

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Chapter 8 Solutions

Student Solutions Manual, Single Variable for Calculus: Early Transcendentals

Ch. 8.1 - Define sequence and give an example.Ch. 8.1 - Suppose the sequence {an} is defined by the...Ch. 8.1 - Suppose the sequence {an} is defined by the...Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Given the series k=1k, evaluate the first four...Ch. 8.1 - The terms of a sequence of partial sums are...Ch. 8.1 - Consider the infinite series k=11k. Evaluate the...Ch. 8.1 - Explicit formulas Write the first four terms of...Ch. 8.1 - Explicit formulas Write the first four terms of...

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The time if Achilles catch the tortoise.

Solution Summary: The author explains how Achilles takes 14of an hour to catch the tortoise.