A ball is dropped from a height of 12 ft. The elasticity of this ball is such that it rebounds two-thirds of the distance it has fallen. (a) How high does the ball rebound on the fifth bounce? (b) Find a formula for how high the ball rebounds on the nth bounce. (c) Find the total distance the ball has traveled at the instant it hits the ground the fifth time.

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.