Calculators / Quick tool
Arithmetic Sequence Calculator
Find the nth term and finite sum of an arithmetic sequence.
How to useHow to use Arithmetic Sequence Calculator ⌄
Find the nth term and finite sum of an arithmetic sequence.
- 1
Paste content, enter parameters or choose the files you need in “First term, difference and term count”.
- 2
Choose “Calculate sequence” for the job. Processing runs in this browser.
- 3
Review the result under “Sequence result”, then copy or download it after checking the output.
Result guide
What Arithmetic Sequence Calculator calculates
The result includes the nth-term formula aₙ = a₁ + (n − 1)d and the finite-sum formula Sₙ = n(a₁ + aₙ)/2, followed by the exact values substituted for the current calculation.
Frequently asked questions
What formulas does the calculator use?
It uses aₙ = a₁ + (n − 1)d for the nth term and Sₙ = n(a₁ + aₙ)/2 for the sum of the first n terms.
Can the common difference be negative or decimal?
Yes. The first term and common difference can be signed decimal values. The term count must be a positive whole number.
What is the difference between a sequence and a series?
A sequence is the ordered list of terms. A series is the sum of those terms. This calculator reports both the selected nth term and the finite sum through n.
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