Geometric Sequence Calculator

Formula

aₙ = a₁r^(n−1)

Worked example

2, ratio 3, term 4 — 54

Quick answer

What does the Geometric Sequence Calculator do?

Calculate the nth term of a geometric sequence.

What is the Geometric Sequence Calculator?

Calculate the nth term of a geometric sequence. Use it when you have the required inputs and want a deterministic, repeatable result with the calculation method visible.

How to use this calculator

Enter the values requested by the tool, keep units and time periods consistent, resolve any validation message, calculate, then review the primary answer together with the displayed formula and supporting values.

Formula and method

This calculator uses the deterministic formula aₙ = a₁r^(n−1). Enter the required values, then review the displayed substitution and result breakdown to verify the calculation.

Worked example

2, ratio 3, term 4 54

Common mistakes to avoid

Check units, decimal points, percentages, signs, date/time order, selector choices, and rounding. For important decisions, verify the result against an independent source or qualified professional when appropriate.