Geometric Sequences Answers

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

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?

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

Select two options.

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.

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

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

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?