Nth Term of an Arithmetic Sequence Calculator
🔁 Sequences & series. Use the nth term of an arithmetic sequence formula to find nth term, first term a, term number n, common difference d: pick the value you want, type the others, and the answer updates as you go.
Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.
What each letter means
| Quantity | Unit |
|---|---|
| nth term | no unit |
| First term a | no unit |
| Term number n | no unit |
| Common difference d | no unit |
Worked example
Find the nth term when First term a = 2, Term number n = 10, Common difference d = 3.
Using an = a + (n - 1)d: nth term = 29.
Frequently asked questions
What is the formula for nth term of an arithmetic sequence?
an = a + (n - 1)d.
What do the letters stand for, and what units are used?
nth term, First term a, Term number n, Common difference d.
How do you calculate nth term?
Put the values into an = a + (n - 1)d. For example, with First term a = 2, Term number n = 10, Common difference d = 3, nth term = 29.
Can I solve for a different value?
Yes. In the calculator above, pick the circle next to any value (nth term, first term a, term number n, common difference d) and fill in the others: it rearranges the formula for you.
