Question

You drop a ball from a height of 1.5 meters. Each curved path has 74% 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?

please help

Answer 1

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Answer 2

The general form for a geometric series would be:

an = a1 r^(n-1)

with a1 as 1.5

and r = 0.71

So

a.

The rule for sequence is

an = 1.5 (0.71)^(n - 1)

b.

After the sixth path, the height of the ball at the top is

a6 = 1.5 (0.71)^(6 - 1)

a6 = 0.27 m

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