Geometric Sequences Answers

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?

–81, 108, –144, 192, ...

Which is the graph of the sequence defined by the function f(x + 1) = f(x) if the initial value of the sequence is 108?

A conservationist determines that a particular beach is eroding at a rate of 1.1% each year. When writing an explicit formula to represent the amount of beach remaining each year, which value should she use as the common ratio?

A sequence of numbers begins with 12 and progresses geometrically. Each number is the previous number divided by 2.

Negative 2 and two-thirds, negative 5 and one-third, negative 10 and two-thirds, negative 21 and one-third, negative 42 and two-thirds, ellipsis