Question

A ball is dropped from a height of 500 m the table shows the height of each bounce write a rule to represent the height of the ball after each bounce how high does the ball bounce of the 6th bounce

Answer 1

The rule that represents the height of the ball after each bounce is;

H(n) = 400(0.8)^(n - 1)

Geometric Sequence Progression

From online sources, we have that;

After first bounce, height = 400 m

After 2nd bounce, height = 320 m

After 3rd bounce, height = 256 m

Formula for the nth term of a geometric sequence is;

T_n = ar^(n - 1)

First term is 400m

Since second term is 320, then common ratio is;

r = 320/400

r = 0.8

Thus, the 6th bounce which is the 6th term will be;

T_6 = 400 * 0.8^(6 - 1)

T_6 = 131 m

Read more about geometric sequence at; brainly.com/question/21688964