Arithmetic Sequence Calculator

The nth term and the sum of an arithmetic sequence.

Result

nth term

29.00

Sum of n terms

155.00

How it works

aₙ = a₁ + (n−1)d, Sₙ = n/2 (2a₁ + (n−1)d)

In an arithmetic sequence each term adds a fixed difference. The nth term and the running sum both follow simple formulas.

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Frequently asked questions

What is the common difference?

The fixed amount added between consecutive terms — positive, negative or zero.

How is the sum found?

Multiply the number of terms by the average of the first and last term.

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