Question

A ball is dropped from the top of a 1,000 foot building. The height of the ball is half its original height after each bounce.

What will the height of the ball be after 12 bounces?

Using complete sentences, explain the procedure taken to answer this question.

Answer 1

@precal

Answer 2

Geometric sequence
what formula should you be using?

Answer 3

an = a1r^(n – 1)

Answer 4

500,250,125 ........
are the heights of first 3 bounces
this can be represented by a geometric series with common ration 0.5
the formula for the nth bounce is ar^(n-1)
where a = ist term (500), and r = 0.5

so height of 12th bounce = 500 * (0.5)^11