Author Allahyah in Mathematics, 04.14.2019

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 first height is given by the expression n = 1. b. What height will the ball be at the peak of the third path?

Answered by ParthKohli

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,You will need to use the relation

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