Geometric Sequences – Flashcards

Sebastian writes the recursive formula f(x+1) = 4f(x) to represent a geometric sequence whose second term is 12. Which explicit formula can be used to model the same sequence?

The points shown on the graph represent the numbers in a geometric sequence. What is the initial value of the sequence?

Pablo generates the function f(x)=3/2(5/2)x-1 to determine the xth number in a sequence. Which is an equivalent representation?

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 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 is the graph of the sequence defined by the function f(x + 1) = 2/3 f(x) if the initial value of the sequence is 108?

Yui makes a list of the balances in her savings account at the end of each month. She notices that each month's total is 5% greater than the previous month's total. She writes a recursive formula to describe the account balances. Which value should she use as the common ratio?