What is the Difference Between Series and Sequence?
🆚 Go to Comparative Table 🆚The main difference between a sequence and a series lies in how the elements are organized and their purpose. Here are the key differences:
- Sequence: A sequence is an arrangement of numbers or objects in a particular order, following a specific pattern or rules. The order of elements in a sequence is important, and each element has a specific position denoted by a number. Examples of sequences include arithmetic sequences, geometric sequences, harmonic sequences, and Fibonacci numbers.
- Series: A series is the sum of the elements of a sequence. The order of elements in a series is not important, and the focus is on the addition of the elements. A series can be finite or infinite, depending on whether the sequence is finite or infinite. Examples of series include geometric series and Fourier series.
In summary, a sequence is a list of elements arranged in a specific order, while a series is the sum of the elements in a sequence. The order of elements is crucial in a sequence, but it is not important in a series.
On this pageWhat is the Difference Between Series and Sequence? Comparative Table: Series vs Sequence
Comparative Table: Series vs Sequence
Here is a table highlighting the differences between a series and a sequence:
Feature | Sequence | Series |
---|---|---|
Definition | A sequence is a group or sequential arrangement of numbers in a particular order or set of rules. | A series is formed by adding the terms of a sequence. |
Types | Sequences can be infinite or finite. | Series are derived from sequences and can be arithmetic or geometric. |
Terms | In a sequence, an individual term can be present in many places. | In a series, the sum of the terms of the sequence is calculated. |
Examples | 1, 3, 5, 7, 9, 11, … is a sequence with a common difference of 2 between any two terms. | The series formed by adding the terms of the sequence above is 1 + 3 + 5 + 7 + 9 + …. |
In summary, a sequence is an arrangement of numbers in a particular order or following a set of rules, while a series is the sum of the terms of a sequence. Sequences can be infinite or finite, and series can be arithmetic or geometric, depending on the sequence used to form them.
Read more:
- Pattern vs Sequence
- Sequence vs Scene
- Arithmetic Sequence vs Geometric Sequence
- TV Series vs Movies
- DNA vs Protein Sequence
- Power Series vs Taylor Series
- Base Sequence vs Amino Acid Sequence
- Arithmetic vs Geometric Series
- First Second vs Third Transition Series
- Conserved vs Consensus Sequence
- Genotyping vs Sequencing
- Parallel vs Series Connection
- TV Series vs Web Series
- Original vs Mutated Sequences
- Fourier Series vs Fourier Transform
- Parallel vs Series Circuits
- Combinational vs Sequential Logic
- PCR Primers vs Sequencing Primers
- PCR vs DNA Sequencing