Where to Use Summation Formula?

Summation notation can be used in various fields of mathematics:

• Sequence in series
• Integration
• Probability
• Permutation and Combination
• Statistics 

Note: A summation is a short form of repetitive addition. We can also replace summation with a loop of addition.

In mathematics, the summation is the basic addition of a sequence of any numbers, called addends or summands; the result is their sum or total. In Mathematics numbers, functions, vectors, matrices, polynomials, and, in general, elements of any mathematical object can be associated with an operation called addition/summation, denoted as “+”.

Summation of an explicit sequence is denoted as a succession of additions. For example, the summation of (1, 3, 4, 7) can base denoted 1 + 3 + 4 + 7, and the result for the above notation is 15, that is, 1 + 3 + 4 + 7 = 15. Because the addition operation is associative as well as commutative, there is no need for parentheses while listing down the series/sequence, and the result is going to be the same irrespective of the order of the summands.