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?

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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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