Sum

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 6^{th} bounce? How high does the ball rebound on n^{th} bounce?

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#### Solution

Here, a = 80, r = `3/4`

1^{st} height in the bounce = `80 xx 3/4`

Height in the 6^{th} bounce = `80 xx 3/4 xx (3/4)^5`

= `80 xx (3/4)^6`

= Height in the n^{th} bounce = `80(3/4)^"n"`

Concept: Geometric Progression (G. P.)

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