Question

A bouncing you 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?

Answer 1

Answer:

f(n) = 64(3/4)^(n-1).

Step-by-step explanation:

The common ratio  is  48/64 = 36/48 =  3/4.

For a GS  nth term = a1 r^(n-1) where r = the common ratio, a1 = the first term, and n = the number of peaks reached.

The axplicit function is   64(3/4)^(n-1).

Answer 2

Answer:

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

Step-by-step explanation:

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. The explicit function is f(x) = 64(three-fourths) Superscript x minus 1