# Geometric series calculator

## World's simplest number tool

Quickly calculate the geometric number sequence in your browser. To get your sequence, just specify the starting value, the ratio and how many elements you need in the options below, and this utility will generate that many numbers. Created by developers for developers.

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Geometric series calculator tool
What is a geometric series calculator?

This is an online browser-based utility for generating a list of numbers in geometric progression. A geometric progression is a sequence of numbers (also called terms or members) where the ratio of two subsequent elements of the sequence is a constant value. This constant is called the common ratio and it can be a positive or a negative integer or a fraction. You can set the first term of the series, the ratio, and the number of elements to calculate. You can also customize the output progression by adding any character between terms of the sequence. That's numberwang!

Geometric series calculator examples
Click to use

Doubling Geometric Sequence

This geometric progression has a common ratio equal to 2. The first term equal 1 and each next is found by multiplying the previous term by 2. As a result, we get a geometric sequence of powers of two, consisting of 20 elements separated by a semicolon.

1; 2; 4; 8; 16; 32; 64; 128; 256; 512; 1024; 2048; 4096; 8192; 16384; 32768; 65536; 131072; 262144; 524288

**Required options**

First term of the geometric
progression.

Multiply the following value
by this ratio.

Total members in progression.

Use this symbol to separate
terms in the geometric sequence.

Alternating Geometric Series

In this example, the ratio is equal to -1. Therefore, we obtain an alternating number series where all the numbers are equal in absolute value and only the sign changes for every term. Here we generate a list of first 10 members of this series and separate them with a comma.

33, -33, 33, -33, 33, -33, 33, -33, 33, -33

**Required options**

First term of the geometric
progression.

Multiply the following value
by this ratio.

Total members in progression.

Use this symbol to separate
terms in the geometric sequence.

Fractional Common Ratio

Here we calculate a decaying geometric sequence with the ratio of 0.5 between each sequence member. We start the progression from a value of one million, and every following value is reduced by half. As you can see, the geometric progression decreases exponentially and the 21st term is already less than one.

1000000
500000
250000
125000
62500
31250
15625
7812.5
3906.25
1953.125
976.5625
488.28125
244.140625
122.0703125
61.03515625
30.517578125
15.2587890625
7.62939453125
3.814697265625
1.9073486328125
0.95367431640625

**Required options**

First term of the geometric
progression.

Multiply the following value
by this ratio.

Total members in progression.

Use this symbol to separate
terms in the geometric sequence.

Pro tips
Master online number tools

You can pass options to this tool using their codes as query arguments and it will automatically compute output. To get the code of an option, just hover over its icon. Here's how to type it in your browser's address bar. Click to try!

https://onlinenumbertools.com/generate-geometric-sequence?&start=1&ratio=2&count=20&separator=%3B%20

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