When a Ping-pong ball is dropped, it rebounds to 90% of its initial height. (a) Write the

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When a Ping-pong ball is dropped, it rebounds to 90% of its initial height. 

(a) Write the first five terms of a sequence an, that gives the maximum height attained by the ball on each rebound when it is dropped from an initial height of 4 feet. Let a1 = 4. What type of sequence describes these maximum heights? 

(b) Give a graphical representation of this sequence for the first five terms. 

(c) Find a formula for an.

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