Numbers and algebra
Arithmetic sequence
A sequence in which consecutive terms differ by the same constant amount.
Common notationaₙ = a₁ + (n−1)d
In one sentence
What does Arithmetic sequence mean?
A sequence in which consecutive terms differ by the same constant amount.
How it is written
aₙ = a₁ + (n−1)d
A compact example
3, 7, 11, 15 has common difference d = 4.
Other names and search terms
arithmetic progression.
Where this fits
When should you learn Arithmetic 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 Arithmetic sequence
What does Arithmetic sequence mean in mathematics?
A sequence in which consecutive terms differ by the same constant amount.
How is Arithmetic sequence written?
A common notation is aₙ = a₁ + (n−1)d.
What is an example of Arithmetic sequence?
3, 7, 11, 15 has common difference d = 4.