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Sequence Calculator

Online sequence calculator for arithmetic and geometric progressions with first-n sum, nth-term formula display, and term generation for study and quick engineering checks

Arithmetic Sequence

Formula: a_n = a1 + (n - 1)d, S_n = n(a1 + a_n) / 2

Arithmetic Result

Enter complete inputs and results update automatically.

Geometric Sequence

Formula: a_n = a1 * q^(n - 1), when q = 1, S_n = a1 * n

Geometric Result

Enter complete inputs and results update automatically.


Documentation

Overview

Sequence Calculator helps you compute arithmetic and geometric progressions, including first-n sums, nth terms, formula display, and term list preview.

Key Features

  • Arithmetic sequence calculation with first term, common difference, and term count.
  • Geometric sequence calculation with first term, common ratio, and term count.
  • Formula display for nth term and sum, useful for teaching and verification.
  • Sequence preview for up to 20 terms to quickly inspect progression behavior.

How To Use

  1. Enter the first term and difference/ratio in the target section.
  2. Enter term count n as a positive integer.
  3. Results update automatically after inputs are complete.
  4. Use "Fill Example" for quick testing, or "Reset" to clear the current section.

Use Cases

  • Math exercises and answer checking for sequence problems.
  • Classroom demonstrations of arithmetic and geometric patterns.
  • Exam preparation with fast formula verification.
  • Basic series estimation in engineering and data work.

Notes

  • n must be a positive integer.
  • Very large values can overflow numeric limits; reduce input size if needed.
  • All calculations run locally in your browser.