# How to Find Any Term of a Geometric Sequence

A geometric sequence is a sequence derived by multiplying the last term by a constant. Geometric progressions have many uses in today's society, such as calculating interest on money in a bank account. So if you were wondering how exactly you would work out how much money you'll have in there in a few years, this article will help you find out.

## Steps

- 1
**Identify the first term in the sequence, call this number***a*. - 2
**Calculate the common ratio (r) of the sequence.**It can be calculated by dividing any term of the geometric sequence by the term preceding it. - 3
**Identify the number of term you wish to find in the sequence.**Call this number*n*. For example, if you wish to find the 8^{th}term in the sequence, then n = 8. - 4
**The n**Simply insert the values of^{th}term is given by*ar*.^{n-1}**a**,**r**and**n**in this formula and evaluate the resulting expression to get the n^{th}term.

## Article Info

Categories: Algebra