Numbers and algebra
Geometric sequence
A sequence in which each non-zero term is obtained by multiplying the previous term by a constant ratio.
Common notationaₙ = a₁rⁿ⁻¹
In one sentence
What does Geometric sequence mean?
A sequence in which each non-zero term is obtained by multiplying the previous term by a constant ratio.
How it is written
aₙ = a₁rⁿ⁻¹
A compact example
2, 6, 18, 54 has common ratio r = 3.
Other names and search terms
geometric progression.
Where this fits
When should you learn Geometric sequence?
The first encounter is not the final level. Many ideas begin visually, become computational in high school and become formal in college.
- 1Pre-high schoolUsually introduced
- 2High schoolGreater depth
- 3CollegeGreater depth
- 4AdvancedGreater depth
- Arithmetic
- Algebra
- Basic arithmetic
- Equations
- Functions
- Precalculus
Algebra is part of the calculation language used throughout the path.
Open the Zero-to-QM pathClear answers
Questions about Geometric sequence
What does Geometric sequence mean in mathematics?
A sequence in which each non-zero term is obtained by multiplying the previous term by a constant ratio.
How is Geometric sequence written?
A common notation is aₙ = a₁rⁿ⁻¹.
What is an example of Geometric sequence?
2, 6, 18, 54 has common ratio r = 3.