Geometric Sequences Answers

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

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

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?

The points shown on the graph represent the numbers in a geometric sequence.

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?

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

Lena is asked to write an explicit formula for the graphed geometric sequence.

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?

–81, 108, –144, 192, ...

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

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?

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?

Which graph represents a geometric sequence?

Pablo generates the function to determine the xth number in a sequence.

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

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.

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?

Select two options.

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

Which graph represents a geometric sequence?

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.

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?