Question

You drop a ball from a height of 1.5 meters. Each curved path has 71% of the height of the previous path. a. Write a rule for the sequence using centimeters. The initial height is given by the term n = 1. b. What height will the ball be at the top of the sixth path?

Answer 1

A(n)=150(71/100)^n-1
Convert (1.5m=150cm)
n=6
A(6)=150(71/100)^6-1
A(6)=150(0.71)^5
A(6)=150(0.180)
A(6)=27.06 cm