Question

a ball is dropped from a height of 144 inches. it's hight on the 1st bounce is 72 inches. on the 2nd and 3rd bounce, the height of the ball is 36 inches and 18 inches, respectively. the heights from a geometric sequence. what is the height of the ball on the 6th bounce to the nearest tenth of an inch?

Answer 1

`2.25`

Explanation:

`the \: n {}^(th) \: term \: of \: a \: gs = {a(r)}^(n - 1) = \\ 72( 0.5) {}^(6 - 1) = 72 * 0.03125 = \\ 2.25`