You drop a ball from a height of 1.5 meters. each curved path has 75% 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?

The height of the ball would be 0.355 meters at the top of the sixth path.

Step-by-step explanation:

Since we have given that

Initial height  = 1.5 meters

Rate of growth = 75%

So, we need to find the height at n paths.

Since it forms geometric progression.

Here, a = 1.5

r = 0.75

So, nth term becomes

We need to find the height at the top pf the sixth path.

So, it becomes,

Hence, the height of the ball would be 0.355 meters at the top of the sixth path.