Answer
Answers may vary.
$a_n = 6*(1/2)^{n-1}$
Work Step by Step
One example of a geometric sequence in our lives is that of bouncing a ball. On the ball’s first bounce, it goes 6 feet. On the second bounce, the ball goes 3 feet. On the third bounce, it goes 1.5 feet.
$3/6 =1/2$
$1.5/3 = 1/2$
The common ratio is 1/2. Our first term was 6. This can be modeled in the equation
$a_n = a_1*r^{n-1}$
$a_n = 6*(1/2)^{n-1}$
