Geometric Sequence Calculator

Math

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Calculates terms, sum, or formula for a geometric sequence.

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How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter First Term (a₁), Common Ratio (r), Term Number (n), and Number of Terms (for Sum) in the units shown.

Step 2

Read Sum of First n Terms (Sₙ) and nth Term (aₙ) in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Example 1

First Term (a₁): 2; Common Ratio (r): 3; Term Number (n): 5; Number of Terms (for Sum): 5

Sum of First n Terms (Sₙ): 242; nth Term (aₙ): 162

Example 2

First Term (a₁): 1; Common Ratio (r): 2; Term Number (n): 4; Number of Terms (for Sum): 4

Sum of First n Terms (Sₙ): 15; nth Term (aₙ): 8

Example 3

First Term (a₁): 5; Common Ratio (r): 0.5; Term Number (n): 3; Number of Terms (for Sum): 3

Sum of First n Terms (Sₙ): 8.75; nth Term (aₙ): 1.25

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