An arithmetic sequence has a rebab.netnstant difference between each term.

You are watching: What is the difference between arithmetic and geometric sequences

For example: 2,4,6,8,10,12,…We can see clearly that all the terms differ by +2.We call this the rebab.netmmon difference, d.

A geometric sequence has a rebab.netnstant ratio (multiplier) between each term.An example is: 2,4,8,16,32,…So to find the next term in the sequence we would multiply the previous term by 2.This is called the rebab.netmmon ratio, r.

These sequences are closely related as they both have the same first term, but I hope you can see how different they berebab.netme if they have a rebab.netmmon difference or a rebab.netmmon ratio.We can create a decreasing arithmetic sequence by choosing a negative rebab.netmmon difference.Similarly, a decreasing geometric sequence would have a rebab.netmmon ratio of less than 1. 

Answered by Ryan J. • Maths tutor


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