Number Sequence Calculator
Find the nth term, sum of n terms, and list terms of arithmetic, geometric, Fibonacci, and custom sequences.
Sequence Type
Formulas
| nth term | aₙ = a₁ + (n−1)d |
| Sum of n terms | Sₙ = n/2 · (2a₁ + (n−1)d) |
| Or equivalently | Sₙ = n/2 · (a₁ + aₙ) |
Results
| First term (a₁) | 2 |
| Common difference (d) | 3 |
| Term 10 (aₙ) | 29 |
| Sum of 10 terms | 155 |
First 10 Terms
1: 22: 53: 84: 115: 146: 177: 208: 239: 2610: 29
Common Sequences
| Name | Pattern | First terms |
|---|
| Arithmetic | a, a+d, a+2d, … | 2, 5, 8, 11, … |
| Geometric | a, ar, ar², … | 3, 6, 12, 24, … |
| Fibonacci | F(n−1)+F(n−2) | 1, 1, 2, 3, 5, 8, … |
| Square numbers | n² | 1, 4, 9, 16, 25, … |
| Cube numbers | n³ | 1, 8, 27, 64, 125, … |
| Triangular | n(n+1)/2 | 1, 3, 6, 10, 15, … |
| Prime numbers | — | 2, 3, 5, 7, 11, 13, … |