Maths - Geometric Sequence Generator

Show/Hide:Definitions FormulaeInstructions


This page allows you to generate the elements of a simple Geometric Sequence / Series. You may choose between a numbered list, or an unformatted sequence of results. Both will have exactly the same entries. Please note that beyond about 1000 digits, the numbers displayed will start to get too long to display on a single line. The 'numbered list' result style is therefore formatted to allow the lines to wrap; the 'simple list' style displays unformatted numbers that can more easily be used in other software.
Click on any of the links at the top of the page to reveal (or hide) more information about this calculator.


If you are reading this paragraph, then you probably don't have JavaScript installed/enabled on your computer.
At this point in time the calculators on this site are entirely dependent on JavaScript. Given enough time and money it is hoped to develop a version in the future which will be able to operate independently. Since JavaScript runs on your own computer, rather than on this server, it has been possible to set up this site much more quickly than if a server-side language was used, and it is possible to serve far more pages with the available bandwidth.
If you think that you can assist with this project in any way, then please visit the Support section and leave a message.


A Geometric Series is a sequence in which each term after the first is found by multiplying the previous term by a constant, called the common ratio, r. For example: 1,3,6,9,27 where the common ratio or term is 3


A Geometric sequence can be defined as: n[x] = n[x-1] x ratio
Where: x is the current element number, or 'index'
and: ratio is the multiplier, common ratio or term.


If you change the 'Number of entries to generate' box, after a list has been generated, the original list will be expanded from where it previously finished.
If you have a very old computer, and choose to calculate a long list, the system may become temporarily unresponsive. If this proves problematic, choose a small number first, then increase gradually. Only new values will be created each time.
Your sequence can be defined in one of two alternative ways: both require you to enter the value of the first number in the sequence. Then you may either enter the next number in the sequence, or instead you may enter the difference between each number in the series. To avoid confusion, the system will automatically clear the other input field if you enter text in both.


© Copyright Mike Brockington 2004 - 2021   All Rights Reserved