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A tire swing attached to a tree branch swings with an arc length of 40 feet on its first swing. On each swing 7 of the length of the previous swing. Let an represent the arc 11 following the first, the tire's arc length is length on the nth swing. A) Find a formula that describes an. Express the common ratio as a fraction. an = B) What is the arc length of the tire on the 6 th swing? Round your answer to three decimal places feet C) How many swings does it take before the arc length is less than one foot?

A tire swing attached to a tree branch swings with an arc length of 40 feet on its first swing. On each swing 7 of the length of the previous swing. Let an represent the arc 11 following the first, the tire's arc length is length on the nth swing. A) Find a formula that describes an. Express the common ratio as a fraction. an = B) What is the arc length of the tire on the 6 th swing? Round your answer to three decimal places feet C) How many swings does it take before the arc length is less than one foot?

Calculus: Early Transcendentals
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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A tire swing attached to a tree branch swings with an arc length of 40 feet on its first swing. On each swing of the length of the previous swing. Let an represent the arc 11 following the first, the tire's arc length is length on the nth swing. A) Find a formula that describes an. Express the common ratio as a fraction. B) What is the arc length of the tire on the 6 th swing? Round your answer to three decimal plapes feet C) How many swings does it take before the arc length is less than one foot?
Transcribed Image Text:A tire swing attached to a tree branch swings with an arc length of 40 feet on its first swing. On each swing of the length of the previous swing. Let an represent the arc 11 following the first, the tire's arc length is length on the nth swing. A) Find a formula that describes an. Express the common ratio as a fraction. B) What is the arc length of the tire on the 6 th swing? Round your answer to three decimal plapes feet C) How many swings does it take before the arc length is less than one foot?
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