Sequence Calculator
Calculate any term and the sum of an arithmetic or geometric sequence, choosing the type you need in one place.
- Free to use
- Accurate results
- No registration required
- Works on all devices
Your result
29
nth term
AI explanation
Formula
Arithmetic: nth term = a₁ + (n−1)d. Geometric: nth term = a₁ × r^(n−1). Sum formulas follow accordingly.Worked example
Arithmetic: 2, 5, 8, 11, ... find the 10th term
| Field | Value |
|---|---|
| Sequence type | arithmetic |
| First term (a₁) | 2 |
| Common difference (arithmetic) or common ratio (geometric) | 3 |
| Term number (n) | 10 |
| nth term | 29 |
| Sum of first n terms | 155 |
Assumptions
- For a geometric sequence, the first term cannot be zero.
Frequently asked questions
How do I know if my sequence is arithmetic or geometric?
An arithmetic sequence has a constant difference between consecutive terms (added each time). A geometric sequence has a constant ratio between consecutive terms (multiplied each time). If you have a list of numbers and want to find out which type it is, use the Number Sequence Calculator instead.
Why is there just one "common value" field?
It represents the common difference for an arithmetic sequence or the common ratio for a geometric sequence — whichever type you select above.
Are there dedicated calculators for each type?
Yes — the Arithmetic Sequence Calculator and Geometric Sequence Calculator offer the same math with type-specific labeling and examples.