Answered

IDNLearn.com makes it easy to find the right answers to your questions. Discover detailed and accurate answers to your questions from our knowledgeable and dedicated community members.

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

Sagot :

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; https://brainly.com/question/21688964

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. IDNLearn.com is committed to providing accurate answers. Thanks for stopping by, and see you next time for more solutions.