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?

In this question, you simply have to multiply the decimal value of 71%, which is 0.71, to its initial height until the desired height is sought.
1.5 meters = 150 cm
For a:

This would be the rule for each of the curved path of the ball.
For b.
n=6


The height of the ball at its sixth path would be 27.06 cm.