1 Answer

TobiSH · Answer 1 · 2019-10-21T13:25:46+0000

the expression of the height is

$a_n=8\cdot ((1)/(2))^(n-1)$

the index "n" is the numbers of times that the ball is down, to n=1 the height is 8 inches, to n=2 the height is 4 inches.

An when n=5, the height is

$a_5=8\cdot ((1)/(2))^(5-1)=8\cdot ((1)/(2))^4=(1)/(2) =0.5$

the anwers is 0.5 inches

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