Arithmetic Sequence Calculator

Calculate the nth term and sum of an arithmetic sequence from the first term, common difference, and number of terms.

Find the nth term and arithmetic series sum from one focused input set

Use this arithmetic sequence calculator when you want the nth term of an arithmetic progression, the sum of the first `n` terms, and a quick preview of the sequence without doing the formula work by hand.

First term Common difference Number of terms

Enter the first term, common difference, and number of terms to calculate the sequence.

No result

Enter the sequence inputs to calculate the nth term.

The nth term, arithmetic series sum, and first terms preview will appear here.

This tool uses the arithmetic-sequence formulas for the nth term and the sum of the first `n` terms.

Enter the first term of the arithmetic sequence.
Enter the common difference between consecutive terms.
Enter how many terms the sequence contains.
Review the nth term result, the sum of the first `n` terms, and the first-terms preview.
Use the formula cards to confirm how the result was calculated.

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This tool calculates the nth term of an arithmetic sequence and the sum of the first `n` terms from one compact input set. It also shows the common difference, a preview of the first few terms, and the formulas used in the result.

An arithmetic sequence is the ordered list of terms with a constant difference between consecutive values. An arithmetic series is the sum of those terms. This calculator shows both so you can check the pattern and the total without switching tools.

An arithmetic sequence calculator is useful for algebra practice, worksheets, exam review, linear pattern checks, and arithmetic progression problems where you need the nth term, the sum formula, or both.

What is an arithmetic sequence?

An arithmetic sequence is a number pattern where the difference between consecutive terms stays constant. That constant gap is called the common difference.

What is the difference between an arithmetic sequence and an arithmetic series?

The sequence is the ordered list of terms. The series is the sum of those terms. This calculator returns both the nth term and the sum of the first `n` terms.

Can the common difference be negative?

Yes. A negative common difference creates a decreasing arithmetic sequence, and this calculator supports that directly.

Does the number of terms need to be a whole number?

Yes. The number of terms must be a positive whole number because arithmetic sequences count discrete terms, not fractional positions.

Arithmetic Sequence Calculator

Calculate an arithmetic sequence instantly

Find the nth term and arithmetic series sum from one focused input set

Arithmetic sequence result

How to use the arithmetic sequence calculator