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

Explanation:

The correct answer for this question is A(n) = 0.75 x (1.5)n-1; 35.6 cm (gradpoint)

Answer 2

In this question, you simply have to multiply the decimal value of 71%, which is 0.71, to its initial height until the desired height is sought.
1.5 meters = 150 cm
For a:

`\alpha_(n) = 150*0.71 ^(n-1)`
This would be the rule for each of the curved path of the ball.
For b.
n=6

`\alpha_(6) = 150*0.71 ^(6-1)`

`\alpha_(6)=27.06`
The height of the ball at its sixth path would be 27.06 cm.