What is an Arithmetic Sequence?
An arithmetic sequence is a sequence of numbers in which the difference of any two successive members is a constant. This difference is called the common difference. The sequence appears as:
a, a + d, a + 2d, a + 3d, ...
Examples of Arithmetic Sequences
- 2, 4, 6, 8, 10, ... where the common difference is 2.
- 5, 1, -3, -7, ... where the common difference is -4.
How to Find the n-th Term?
The n-th term of an arithmetic sequence can be found using the formula:
Tn = a + (n - 1) * d
Where:
- Tn is the n-th term,
- a is the first term,
- d is the common difference,
- n is the term number.
Further Resources
Continue exploring more about sequences and series:
