Geometric Sequence Nth Term Calculator

Calculate the n-th term aₙ = a₁ × r^(n - 1) of a geometric sequence from initial term and common ratio.

How It Works & Processing Standards

Enter values above to calculate results automatically. Check each input field for guidance and units.

Example: a1=2, n=4, r=3 → 54

Your input data is never sent to any server and is securely processed on your device.

Current Limits

  • Maximum input length: 100,000 characters

Geometric Sequence Nth Term Calculator is a 100% free, browser-based online utility. All calculations and file conversions run locally inside your browser (Local-First) without sending data to remote servers, keeping your documents and inputs strictly private.

How to Use Geometric Sequence Nth Term Calculator

  1. 1
    Enter First Term (a₁)Type initial value.
  2. 2
    Enter Common Ratio (r)Type multiplier ratio.
  3. 3
    Enter Term Position (n)Type position index.

Common Use Cases

  • Modeling cell division counts across generations
  • Multi-stage gear reduction ratio calculations
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