A ball is dropped from a height of and rebounds each time to of the height from which…

MATHEMATICS · Single correct · A Level · Mathematics · Sequences and series · Sequences and series

Problem

A ball is dropped from a height of

5\,\text{m}

and rebounds each time to

80\%

of the height from which it just fell. The rebound heights form a geometric progression. Identify the common ratio

r

of this progression. (a)

0.64

(b)

0.2

(c)

0.8

(d)

1.25