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August 20, 2014

August 20, 2014

Posted by **Marisol** on Thursday, May 26, 2011 at 7:02pm.

When it strikes the ground for the second time, the ball has traveled a total of 28 ft in a downward direction. How far downward has the ball traveled when it strikes the ground for the 17th time?

- math -
**MathMate**, Thursday, May 26, 2011 at 7:26pmT(1)=16

T(2)=12

T(3)=9

...

T(n)=16(3/4)^(n-1)

It is a geometric progression (GP) with a ratio of 3/4.

The sum to n terms of a GP is:

S(n)=16(1-(3/4)^n)/(1-(3/4))

Substitute n=17 in the above formula to get S(17), the*total*downward distance.

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