Arithmetic Sequence Calculator

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

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How to use this tool?

This calculator computes the nth term and the sum of the first n terms of an arithmetic sequence.

  1. Enter the first term (a₁) – the starting number of the sequence.
  2. Enter the common difference (d) – the constant amount added to each term.
  3. Enter the number of terms (n) – a positive integer (e.g., 5).
  4. Click Calculate.

Results:

  • nth Term (aₙ) – the value of the last term in the sequence.
  • Sum (Sₙ) – the total of all n terms.
  • Common Difference – confirms your input.

All numbers accept decimals. Use a period (.) as decimal separator.

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Frequently Asked Questions

An arithmetic sequence is a sequence of numbers where the difference between consecutive terms is constant. This constant is called the common difference.

The nth term is given by aₙ = a₁ + (n-1)d, where a₁ is the first term and d is the common difference.

The sum of the first n terms is Sₙ = n/2 * (2a₁ + (n-1)d).

Reviewed by Experts

Eurico José Kiala

Eurico José Kiala

Mathematician

Teacher

LinkedIn
João Lino

João Lino

Mathematician

LinkedIn
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