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?

a. (0.5 meter) * [tex] 0.52^{n-1} [/tex]

b. (0.5 meter) * [tex] 0.52^{3-1} [/tex] = (0.5 meter) * [tex] 0.52^{2} [/tex] = 0.1352 meter
This assumes you mean "The top of the first path is the initial height of 0.5 meter" which would then use n=3 as the top of the third path.

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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?

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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?