Question

7. You drop a ball from a height of 0.5 meter. Each curved path has 52% 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 third path?

Answer 1

This is a geometric sequence. The first term is the max height of the first curved path, which is 0.5. The second one is 52% of that meaning that it is 0.52 times the first term. The third term is 0.52 times the second term. Thus, in this geometric sequence,

Explanation:

a = 0.5

r = 0.52

You will need to use the relation a_n = a \cdot r^{n-1}