(a) Find the total distance the ball has traveled at the instant it hits the ground the fifth time. (Enter an exact number.) ft (b) Find a formula for the total distance the ball has traveled at the instant it hits the ground the nth time. an =

(a) Find the total distance the ball has traveled at the instant it hits the ground the fifth time. (Enter an exact number.) ft (b) Find a formula for the total distance the ball has traveled at the instant it hits the ground the nth time. an =

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Question

A ball is dropped from a height of 12 ft. The elasticity of the ball is such that it always bounces up one-third the distance it has fallen.

(a) Find the total distance the ball has traveled at the instant it hits the ground the fifth time. (Enter an exact number.)
ft

(b) Find a formula for the total distance the ball has traveled at the instant it hits the ground the nth time.

a_n =

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