Algebra & Equations
Arithmetic Sequence Term
nth term of an arithmetic sequence.
Formula
Formula
an = a1 + (n−1)d
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| a₁ | first term | computed result | — | result |
| d | common difference | real number (ℝ) | — | input |
| n | term index | integer (ℤ) | — | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenfirst term a₁ = 3, common diff d = 5, n = 10
Result48
Example 2
Givenfirst term a₁ = 100, common diff d = -7, n = 12
Result23