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

Answered by Ryan J. • Maths tutor

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