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?

Question

Mathematics

Kayley Boyer

9 February, 13:01

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?

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Answers (2)

Know the Answer?

Colby Irwin · Answer 1

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

Braxton Ramos · Answer 2

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).