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Geometric Progression Calculator

This calculator helps you quickly find the n-th term of a geometric progression. It’s useful for students, teachers, and professionals dealing with mathematical series. Just input the first term, the common ratio, and the term number to get the result instantly.

Geometric Progression Calculator

Input Fields
If enabled, the result will update automatically when you change any value.

Geometric Progression Term Formula

Formula
$$a_n = a_1 \cdot r^{(n – 1)}$$

Where

  • $$a_n$$ = the n-th term
  • $$a_1$$ = the first term
  • $$r$$ = the common ratio
  • $$n$$ = the term number (positive integer)

This formula calculates the value of the n-th term in a geometric sequence, where each term is multiplied by a fixed number (common ratio) to get the next.


A geometric progression is a sequence of numbers where each term after the first is obtained by multiplying the previous term by a constant called the common ratio. This calculator simplifies the process of finding any term in the sequence without manually calculating all the previous terms. It’s especially helpful in algebra, financial modeling, and computer science. Simply provide the first term, the ratio, and the term number — and get your answer instantly.

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