After being dropped a certain ball always bounces back to 2/5 of the height of its previous bounce. After the first bounce it reaches a height of 125 inches. How high (in inches) will it reach after its fourth bounce?

Question

anonymous · Answer

I though that the formula for this is 125* (2/5)^4?
right?

ranga · Answer

They are counting the height 125 as the first bounce.  
So the second will be 125*2/5,
Third will be 125*(2/5)^2 and the fourth will be 125*(2/5)^3

anonymous · Answer

I see, was just about to say that, thank you!

ranga · Answer

you are welcome.

anonymous · Answer

just though of that, so the answer would then be 8?

anonymous · Answer

Yes, it is 8. Get it!

ranga · Answer

Yes.