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Question
A ball is dropped from a height of 80 ft. The ball is such that it rebounds `(3/4)^"th"` of the height it has fallen. How high does the ball rebound on 6th bounce? How high does the ball rebound on nth bounce?
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Solution
Here, a = 80, r = `3/4`
1st height in the bounce = `80 xx 3/4`
Height in the 6th bounce = `80 xx 3/4 xx (3/4)^5`
= `80 xx (3/4)^6`
= Height in the nth bounce = `80(3/4)^"n"`
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