Aball is dropped from a height of 16 feet. each time it is drops, it rebounds 80% of the height from which it is falling fine the total distance traveled in 15 bounces

A sequence of height reached by the ball is a geometric sequence or progression

Reason:

The given parameters are;

Height from which the ball dropped = 16 feet

Height to which the ball rebounds to = 80% of the previous height

The total distance traveled in 15 bounces = Required

Solution;

The height traveled at each bounce is given by a geometric progression, of the form, aₙ = a·rⁿ

Where;

The first term, a = 16 feet

The sum of n, terms of a geometric progression, Sₙ, is given as follows;

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