# Geometric Sequence Calculator

Instructions: This algebraic calculator will allow you to compute elements of a geometric sequence. A geometric sequence has the form:

$a_1, a_1 r, a_1 r^2, …$

You need to provide the first term of the sequence ($$a_1$$), the constant ratio between two consecutive values of the sequence ($$r$$), and the number of steps further in the sequence($$n$$). Please provide the information required below:

First term ($$a_1$$)
Ratio ($$r$$)
Number of steps ($$n$$)

#### What is a Geometric Sequence?

Learn more about geometric sequences so you can better interpret the results provided by this calculator: A geometric sequence is a sequence of numbers $$a_1, a_2, a_3, ….$$ with the specific property that the ratio between two consecutive terms of the sequence is ALWAYS constant, equal to a certain value $$r$$. The value of the $$n^{th}$$ term of the arithmetic sequence, $$a_n$$ is computed by using the following formula:

$a_n = a_1 r^{n-1}$

This means that in order to get the next element in the sequence we multiply the ratio $$r$$ by the previous element in the sequence. So then, the first element is $$a_1$$, the next one is $$a_1 r$$, the next one is $$a_1 r^2$$, and so on.