Sequence vs Series
|
Sequence |
Series |
|---|---|
| A sequence is defined as a successive arrangement of numbers in an order according to some specific rules. | A series is formed by adding the elements of a sequence. |
| It is basically a grouping of components that follow a certain pattern. | It is a sum of elements that follow a pattern. |
| In a sequence, the order of the numbers is important. | In a series, the order of numbers is not important. |
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Example: A finite arithmetic sequence: 3, 5, 7, 9, 11 An infinite geometric sequence: 2, 4, 8, 16, …….. |
Example: A finite arithmetic series: 3 + 5 + 7 + 9+ 11 An infinite geometric series: 2 + 4 + 8 + 16 + …….. |
Sequences and Series Formulas
Sequences and Series Formulas: In mathematics, sequence and series are the fundamental concepts of arithmetic. A sequence is also referred to as a progression, which is defined as a successive arrangement of numbers in an order according to some specific rules. A series is formed by adding the elements of a sequence.
Let us consider an example to understand the concept of a sequence and series better. 1, 3, 5, 7, 9 is a sequence with five terms, while its corresponding series is 1 + 3 + 5 + 7 + 9, whose value is 25.
This article explores the sequences and series formulas, including arithmetic, geometric, and harmonic series.
Table of Content
- Sequence and Series Definition
- Types of Sequences and Series
- Arithmetic Sequence and Series
- Geometric Sequence and Series
- Harmonic Sequence and Series
- Fibonacci Numbers
- Sequences and Series Formulas
- Difference Between Sequences and Series
- Sequences and Series Formulas Examples