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Sequence Calculator

Arithmetic Sequence Calculator

Find the nth term, common difference, and sum of an arithmetic sequence. Enter the first term, common difference, and number of terms to calculate instantly.

a₁
+
d
+
d

Enter sequence values

Formula: aₙ = a₁ + (n − 1)d and Sₙ = n(a₁ + aₙ) / 2.

Result

aₙ

Enter the sequence values and click calculate.

nth term
First term
Common difference
Sum of first n terms

Nth term formula

Use aₙ = a₁ + (n − 1)d to find any term without listing all previous terms.

Common difference

The common difference is the fixed amount added to each term to obtain the next term.

Sequence sum

The sum formula adds the first n terms using the average of the first and last terms.

Frequently asked questions

What is an arithmetic sequence?

It is a sequence where the difference between consecutive terms remains constant.

Can the common difference be negative?

Yes. A negative common difference produces a decreasing arithmetic sequence.

How many terms are displayed?

The calculator previews up to the first 20 terms while still calculating the requested nth term and total sum.

Math Calculation Disclaimer

Results are estimates generated locally in your browser using standard mathematical formulas. They are for informational and educational purposes only and are not a substitute for verification in coursework, examinations or professional contexts requiring certified accuracy. VisionVix accepts no liability for decisions based on this tool's output.

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