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.
- Enter the first term (a₁) – the starting number of the sequence.
- Enter the common difference (d) – the constant amount added to each term.
- Enter the number of terms (n) – a positive integer (e.g., 5).
- 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.
Previous Results
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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).