Geometric Sequence Term
Find the nth term of a geometric sequence from its first term and common ratio.
How to use
- Enter first term a, term number n, and ratio r.
- Calculate to obtain a×r^(n−1).
Capabilities and scope
The tool evaluates a sequence where each step multiplies by the same ratio.
How it works
It uses a_n = a·r^(n−1).
Example
With first term 2 and ratio 3, the fourth term is 54.
Useful for
- Find one position in multiplicative growth or decay
- Inspect a simple compounding-style sequence
Before you use it
- Large n or ratios can exceed floating-point range or lose precision.
Frequently asked questions
Can the ratio be zero or negative?
Mathematically yes; zero makes subsequent terms zero, while a negative ratio can alternate signs.