Bouncing Ball A ball is dropped from a height of . The elasticity of this ball is such that it rebounds three-fourths of the distance it has fallen. How high does the ball rebound on the fifth bounce? Find a formula for how high the ball rebounds on the bounce.
The height when the ball rebounds on fifth bounce and formula for the height when the ball rebounds on bounce.
The term of a geometric sequence is given by
where is the first term and is the common ratio of the sequence.
The height when the ball rebounds on first bounce is given by
For the second bounce,
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