Solve in each situation. You may use a calculator and round your answer to the nearest tent 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) = ☐ and f(1) = Then, find the common ratio r. r= || To find the term f(4), repeatedly multiply the common ratio r = f(4) = Bounce 1 2 3 Height 500 400 320 Remember, to find the common ratio, divide any term by the term before it.
Solve in each situation. You may use a calculator and round your answer to the nearest tent 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) = ☐ and f(1) = Then, find the common ratio r. r= || To find the term f(4), repeatedly multiply the common ratio r = f(4) = Bounce 1 2 3 Height 500 400 320 Remember, to find the common ratio, divide any term by the term before it.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Solve in each situation. You may use a calculator and round your answer to the nearest tent
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(1) =
f(2)= = f(3) = 1
Then, find the common ratio r.
r =
To find the term f(4), repeatedly multiply the common ratio r =
The ball bounces about
and f(4) =
meters on the
bounce.
Bounce
1
2
3
Height
500
400
320
Remember, to find the
common ratio, divide any
term by the term before it.
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