How to use the arithmetic sequence calculator
Find the nth term and sum of an arithmetic sequence. Enter first term, common difference, number of terms in the fields above; the nth term, sum of n terms are computed instantly and plotted on the chart so you can see how the answer changes.
Formula
Variables
- a1 — First term
- d — Common difference
- n — Number of terms
Worked example
With first term = 3, common difference = 4, number of terms = 20, the calculator gives nth term ≈ 79; sum of n terms ≈ 820.
Frequently asked questions
What is the formula for the arithmetic sequence calculation?
nth term = a1+(n-1) × d. Sum of n terms = n × (a1+[nth term]) / 2. Here a1 is first term, d is common difference, n is number of terms.
What inputs do I need for the arithmetic sequence calculator?
You need first term, common difference, number of terms. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use this calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.