# Math

posted by María

A ball is dropped from a height of 16 feet and always rebounds 0.25 of the distance fallen.How high did it rebound the 5th time?

1. MathMate

The rebound height is a geometric sequence, i.e.
H(n)=H0*r^n
where n=number of bounces.
For H0=16', r=0.25
H(1)=16*(0.25)^1=4'
H(2)=16*(0.25)²=1'
...

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