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
f(x) = 48
f(x) = 64
f(x) = 64

Question

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
f(x) = 48
f(x) = 64
f(x) = 64

Vocaloid · Answer

the choices didn't paste properly
but regardless, we need to find a fraction of the peak of each bounce compared to the previous bounce

so, the first bounce is 64 and the second is 48. so the ratio between successive bounces is (48/64)

initial value is 64

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plug them into the geometric formula (the one on the right)