Question

A bouncy ball is dropped. The function h(n)=300(3/4)^n−1 models the maximum height of the ball, in centimeters, after its nth bounce.

Select EACH true statement about the scenario.

[] The function represents a geometric sequence.
[] The first term in the sequence is 300.
[] The height of the ball after the first bounce is 300 cm.
[] The ball is dropped from a height of 300 cm.

*Multiple Choice*

Answer 1

The true statements about the scenario are;

• The function represents a geometric sequence.

• The first term in the sequence is 300.

The standard form of a geometric sequence is expressed as:

$Tn = ar^{n-1}$

a is the first term

r is the common ratio

n is the number of terms

Given the expression $h(n)=300(\frac{3}{4} )^{n-1}$

Compare and contrast

a = 300

This shows that the first term of the sequence is 300.

Also, a function represents a geometric sequence

Hence the true statements about the scenario are;

• The function represents a geometric sequence.

• The first term in the sequence is 300.

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