Posted by **John** on Saturday, February 9, 2013 at 4:50pm.

a) A particular ball always rebounds 3/5 the distance it falls. If the ball is dropped from a height of 5 meters, how far will it travel before coming to a stop?

Explain the reasoning.

b) Prove that if a1, a2, a3, ... is a geometric sequence,then ln(a1), ln(a2), ln(a3)... is an arithmetic sequence.