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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 Progression Options
First term of the geometric progression.
Multiply the following value by this ratio.
Total members in progression.
Terms Separator
Use this symbol to separate terms in the geometric sequence.
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
These options will be used automatically if you select this example.
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
These options will be used automatically if you select this example.
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
These options will be used automatically if you select this example.
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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