Solve in each situation. You may use a calculator and round your answer to the nearest tenth of a unit
when necessary.
1.
A ball is dropped from a height of 500 meters. The table shows the height
of each subsequent bounce. The heights form a geometric sequence. How
high does the ball bounce on the 4th bounce? Round your answer to the
nearest tenth of a meter.
First, identify each term in the sequence. For this sequence,
f(2)=
☐ f(3) = [
f(1) =
=
Then, find the common ratio r.
r =
=
and
To find the term f(4), repeatedly multiply the common ratio r =
f(4) =
Bounce
1
2
3
Height (m)
500
400
320
Remember, to find the
common ratio, divide any
term by the term before it.