What is Summation Formula?

Summation or sigma (∑) notation is a method used to write out a long sum in a concise way. This notation can be attached to any formula or function.

For example, _i=1∑¹⁰ (i) is a sigma notation of the addition of finite sequence 1 + 2 + 3 + 4…… + 10 where the first element is 1 and the last element is 10.

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.