Geometric Sequences Answers

Sebastian writes the recursive formula f(x+1) = 4f(x) to represent a geometric sequence whose second term is 12.

Natalia is writing a recursive formula to represent the sequence.8, 12, 18, 27, ...What value should she use as the common ratio in the formula?

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

–81, 108, –144, 192, ...

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?

Which graph represents a geometric sequence?

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

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?

On a coordinate plane, 3 points are plotted. The points are (1, 80), (2, 20), (3, 5).

Isaak is writing an explicit formula to represent the sequence.64, 112, 196, 343, ...What value should he use as the common ratio in the formula? Write the answer as a decimal rounded to the nearest hundredth.