Question 1201839
A ball is dropped from a height of 1.5 m. Each time it bounces on the ground, it
rises to 3/4 of the height it fell. Calculate the total distance it will cover
by the 20th bounce.
<pre>
We will consider the first term to be the first drop plus the first rise, which
is 1.5 + (3/4)(1.5) = 2.625

The last term will end when the ball has finished bouncing upward the 20th time.
{{{matrix(1,8, 
a[1] = 2.625,
",",
n=20,
",",
r=3/4,
",",
S[n]=(a[1](1-r^n))/(1-r^"")= (2.625(1-0.75^20))/(1-0.75^"")=10.46670227,meters )}}}

Edwin</pre>