Question

Guided Practice

You drop a handball from a height of 100 centimeters. Each curved path has 64% of the height of the previous path.

Write a rule for the sequence using centimeters. The initial height is when n = 1.

What height will the ball reach at the top of the sixth path?


A.
an=100 · (0.64)n−1a subscript n baseline equals 100 times left parenthesis 0.64 right parenthesis superscript n minus 1 baseline; about 10.74 cm


B.
an=0.64 · (100)n−1a subscript n baseline equals 0.64 times left parenthesis 100 right parenthesis superscript n minus 1 baseline; about 0.11 cm


C.
an=1 · (0.64)n−1a subscript n baseline equals 1 times left parenthesis 0.64 right parenthesis superscript n minus 1 baseline; 6,400,000,000 cm

Answer 1

A.

an=100 · (0.64)n−1a subscript n baseline equals 100 times left parenthesis 0.64 right parenthesis superscript n minus 1 baseline; about 10.74 cm

Step-by-step explanation: I got it off of the internet

Step 1 of 1

In geometric sequence, the ratio between two consecutive terms is constant. This ration is called the common ratio.

Consider the following sequence:

Thus the common ratio of the sequence is .

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You drop a handball from a height of 1 meter. Each curved path has 64% of the height of the previous path. A. A(n)= 100*(0.64)^n-1

Answer 2

The correct choice is (A)