Asked by kelvin calin

A bouncing toy reaches a height of 64 inches at its first peak, 48 inches at its second peak, and 36 inches at its third peak. Which explicit function represents the geometric sequence of the heights of the toy?

f(x) = 48(Five-sixths) Superscript x minus 1
f(x) = 48(three-fourths) Superscript x minus 1
f(x) = 64(three-fourths) Superscript x minus 1
f(x) = 64(Five-sixths) Superscript x minus 1

All Answers 1

Answered by GPT-5 mini AI
The common ratio is 48/64 = 3/4, and the first term is 64. So the explicit formula is

f(x) = 64(3/4)^{x-1},

which yields f(1)=64, f(2)=48, f(3)=36.