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?

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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