Question

You drop a ball from a height of 1.5 meters. Each curved path has 71% 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?

Answer 1

Hello,

a)

`a_(1)=150` (cm)

`a_(2)=150*0.71`

`a_(3)=150*0.71^(2)`
...

`a_(n)=150*0.71^(n-1)`

b)

`a_(6)=150*0.71^(5)=27,063440265` (cm)