You drop a ball from a height of 0.5 meter. Each curved path has 52% of the height of the previous path.

AWrite a rule for the sequence using centimeters. The initial height is given by the term n = 1.
BWhat height will the ball be at the top of the third path?

Verified Answer :

A(0.5 meter)  \(0.52^{n-1}\)

b. (0.5 meter)
 \(0.52^{3-1}\) = (0.5 meter) * \(0.52^{2}\) = 0.1352 meter
    This assumes you mean "The top of the first path is the initial height of 0.5 meter" which would then use n=3 as the top of the third path.