Math
Arithmetic sequence
Find a term and partial sum of an arithmetic sequence.
Calculators / Math / Geometric sequence term
Geometric sequence term calculator
Find a chosen term of a geometric sequence.
On this page
Nth term48
Calculator controls
How to calculate
Find a chosen term of a geometric sequence.
Nth term = a*r^(n-1)
Worked example
First term: 3; Common ratio: 2; Term number: 5.
Nth term: 48 .
Assumptions and limits
Signs alternate between successive nonzero terms. A ratio of zero makes every term after the first zero.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Successive terms are multiplied by a constant ratio. The exponent is one less than the term number because the first term has no multiplication step.
When this tool is useful
Find a chosen term of a geometric sequence.
Understanding your inputs
| Input | What to enter |
|---|---|
| First term | Enter a number of at least -1000000000 and no more than 1000000000. |
| Common ratio | Enter a number of at least -100 and no more than 100. |
| Term number | Enter a number of at least 1 and no more than 100. |
Frequently asked questions
What happens with a negative ratio?
Signs alternate between successive nonzero terms. A ratio of zero makes every term after the first zero.