Geometric Sequence.. :3
Geometry
Level
3
Suppose a ball rebounds 3/5 the distance it falls. If it is dropped from a height of 17 m. , how far does it travel before coming to feet?
The answer is 68.
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1 solution
Base from the problem, we will just use the infinite geometric sequence.
Shortcut.
Let's say, the distance is d and the ball rebounds a/b the d,
then,
2[(d)/(1-a/b)] -d = 2(d)/(b-a)/b -d = 2bd/(b-a) - (d) = (2bd - bd + ad)/(b-a) = d(b+a)/(b-a)
therefore, the answer is:
(a=3 , b=5 , d = 17)
17(5+3)/(5-3) = 17(4) = 68
Final Answer: 68.