Discrete Maths | Generating Functions-Introduction and Prerequisites.
Mathematics | Total number of possible functions.
Mathematics | Classes (Injective, surjective, Bijective) of Functions.
Number of possible Equivalence Relations on a finite set.
Mathematics | Closure of Relations and Equivalence Relations.
Mathematics | Representations of Matrices and Graphs in Relations.
Discrete Mathematics | Representing Relations.
Mathematics | Introduction and types of Relations.
Mathematics | Partial Orders and Lattices.
Mathematics | Power Set and its Properties.
Inclusion-Exclusion and its various Applications.
Mathematics | Set Operations (Set theory).
Mathematics | Introduction of Set theory.ISRO CS Syllabus for Scientist/Engineer Exam.ISRO CS Original Papers and Official Keys.GATE CS Original Papers and Official Keys.
#Series and sequences series#
A sequence is a list of numbers or terms, while a series is a sum of numbers.
In the sequence it is important that there is always an order or pattern, but in the series this is not absolutely necessary.
In the sequence the sum is not important, as opposed to the series in which it is.
Key differences between Series and Sequence If the response or sum of the series is very high, the infinity symbol is placed, or more appropriately qualified, as divergent. Using the same example (from sequence 1 to 1/5), if we associate it with a series we could immediately say 1 + 1/2 + 1/3 + 1/4 + 1/5 and so on. However, there are also some series that give rise to a change in the sum by placing the terms in a different order. These form an absolutely convergent series. This is because some series may have terms without a particular order or pattern, but still they are added together. In a series, the order of appearance of each term is also important, but not always just like in a sequence. Therefore, a series has a sequence with mentions (variables or constants) that are added. On the contrary, a series simply consists of adding or adding a group of numbers (for example, 6 + 7 + 8 + 9 + 10). Since there is no negative value or any number less than zero in this sequence, the limit or end is assumed to be zero. In the previous example of sequence 1 through 1/5, the behavior of the sequence moves closer and closer to zero. This also demonstrates that the sequences have “behaviors”. The same pattern is followed, if a person is asked for the nth term of a millionth which will be 1/1, 000,000. For example, 1, 1/2, 1/3, 1/4, 1/5 and so on, if you ask someone what the 6th 1 / n is, you can easily respond that it is 1/6. In the sequence there is always a pattern. There are other more complicated sequences, but they also have some kind of pattern, such as 7, 6, 9, 8, 11, and 10. The sequence of 10, 9, 8, 7, and 6 is another type of sequence but arranged in descending order. For example, 6, 7, 8, 9, 10 is a sequence of numbers from 6 to 10 in ascending order. In this case, the order of the numbers in the list is of particular importance. Difference between Series and Sequenceįirst of all, when talking about a sequence, it simply refers to a list of numbers or terms. However, they are very different concepts from each other especially with regard to scientific and mathematical points of view. Difference between Series and Sequence: – The terms “series” and “sequence” are used interchangeably in common and informal practice.