Calculate arithmetic sequence nth term.
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Geometric Sequence Calculator – nth Term
Quick answer
If first term is 2, common ratio is 2 and term number is 10, the nth term is 1,024.
Enter your values
nth term
1,024
The length of time this runs for.
You enter First term 2, Common ratio 2, Term number 10. You get nth term 1,024.
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See how the result changes
Each table re-runs this calculator with one value changed and everything else left as it is.
nth term by first term
If first term goes from 2 to 3, nth term changes from 1,024 to 1,536 (+50%).
| First term | nth term |
|---|---|
| 1 | 512 |
| 1.5 | 768 |
| 2start | 1,024 |
| 3 | 1,536 |
| 4 | 2,048 |
nth term by common ratio
If common ratio goes from 2 to 3, nth term changes from 1,024 to 39,366 (+3744%).
| Common ratio | nth term |
|---|---|
| 1 | 2 |
| 1.5 | 76.8867 |
| 2start | 1,024 |
| 3 | 39,366 |
| 4 | 5,24,288 |
nth term by term number
If term number goes from 10 to 15, nth term changes from 1,024 to 32,768 (+3100%).
| Term number | nth term |
|---|---|
| 5 | 32 |
| 7.5 | 181.0193 |
| 10start | 1,024 |
| 15 | 32,768 |
| 20 | 10,48,576 |
MATH GUIDE
A quick guide to Geometric Sequence nth Term
Use it to get an accurate nth term in seconds — free, with no sign-up.
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See your nth term the moment you enter your numbers.
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How to Use the Geometric Sequence nth Term Calculator
1
Enter First term
Provide your first term.
2
Enter Common ratio
Provide your common ratio.
3
Enter Term number
Provide your term number.
4
View Your Results
Get your nth term instantly, calculated on our server.
What is Geometric Sequence nth Term?
This math tool works out your nth term instantly, so you don't have to do the math by hand.
“One quick calculation, so you always know your nth term before you decide.”
What Affects Your nth term
Your nth term depends on the values below.
First term
Changing your first term changes your nth term.
Common ratio
Changing your common ratio changes your nth term.
Term number
Changing your term number changes your nth term.
Example Result
Here's what you can expect from a geometric sequence nth term calculation:
- First term
- 2
- Common ratio
- 2
- Term number
- 10
- nth term
- 1,024
Frequently Asked Questions
- How does first term affect nth term?
- If first term goes from 2 to 3, nth term changes from 1,024 to 1,536 (+50%).
- How does common ratio affect nth term?
- If common ratio goes from 2 to 3, nth term changes from 1,024 to 39,366 (+3744%).
- How to calculate geometric sequence nth term?
- Fill in first term, common ratio and term number in the Geometric Sequence Calculator – nth Term above and your nth term is calculated instantly. Change any value to see how the result responds.
- What does an example geometric sequence nth term calculation look like?
- If first term is 2, common ratio is 2 and term number is 10, the nth term is 1,024.
- Is this calculator free to use?
- Yes — every calculator on this site is completely free, with no sign-up or account required.
- How accurate is this calculator?
- It uses the standard formula and calculates on our server for every request, so results are precise for the values you enter.
- Is my data saved anywhere?
- No. Nothing you enter is stored or sent anywhere unless you choose to share a link with your values included.
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