What are Sequences and Series?
A sequence is an ordered list of numbers that follow a specific pattern or rule. Each number in the sequence is called a term. Sequences can be finite or infinite, depending on whether they have a limited number of terms or continue indefinitely. The pattern or rule that defines a sequence can be arithmetic, geometric, or based on some other mathematical relationship.
Sequences and Series
Sequences and Series: In mathematics, the sequence is a collection or list of numbers that have a logical/sequential order or pattern between them. For example, 1, 5, 9, 13, … is a sequence having a difference of 4 between each consecutive next term and each term can be represented in form 1 + 4 * ( n – 1 ) where n is the nth term of the sequence. The sequence can be classified into 3 categories:
- Arithmetic Sequence
- Geometric Sequence
- Harmonic Sequence
Table of Content
- What are Sequences and Series?
- Arithmetic Sequence
- Geometric Sequence
- Harmonic Sequence
- What is Summation Notation?
- Summation Notation for Arithmetic Sequence
- Summation Notation for Geometric Sequence
- Summation Notation for Harmonic Sequence
- Sequences and Series Examples