SOLUTION: A ball is dropped from a height of 32 m. The ball bounces back 80 % of the distance it falls. To what height does the ball bounce after the 5th bounce? Round answers to one decimal

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Question 1182271: A ball is dropped from a height of 32 m. The ball bounces back 80 % of the distance it falls. To what height does the ball bounce after the 5th bounce? Round answers to one decimal place.
Found 2 solutions by mananth, ikleyn:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

an = a*r^(n-1)
a5 = 32 * 0.8^4
13.10 m at the 5th. bounce

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

            The solution and the formula in the post by @mananth are both incorrect.

            I came to bring the correct solution/formula/answer. 


The height after 1st bounce is  32*0.8 m.


The height after 2nd bounce is  32%2A0.8%5E2 m.


The height after 3rd bounce is  32%2A0.8%5E3 m.


The height after 4th bounce is  32%2A0.8%5E4 m.


The height after 5th bounce is  32%2A0.8%5E5 = 10.486 m.      ANSWER



The height after n-th bounce is  32%2A0.8%5En m.

Solved (correctly).