In 'Simple sum' mode our summation calculator will easily calculate the sum of any numbers you input. A series can be finite or infinite depending on the limit values. summation of sequences is adding up all values in an ordered series, usually expressed in sigma (Σ) notation. If you are adding all numbers from a set together, you can refer to the result as 'sum total', unlike if you add together only a part of the sequence. Summation can be performed on negative numbers as well, and when one wants to explicitly denote that the sign is taken during the operation, it is called an 'algebraic sum'.

Addition is commutative, so permuting (changing the order of) the terms of a finite sequence does not change the result from its summation: summing 1 + 2 + 3 + 4 is the same as 1 + 4 + 3 + 2, as can be confirmed using our sum calculator.

Since addition is associative, the sum does not depend on how the additions are grouped, therefore, parentheses are usually omitted in summation. Shortcuts exist for calculating sums of specific sequences. You can simply copy/paste the numbers, or enter them manually, separated by any non-numerical symbol - minus and dot excluded. It is simple to do for a few numbers, especially integers, but can get more complex with fractions and real numbers, which is where our summation calculator can help. Addition is one of the four basic arithmetic operations, the others being subtraction, multiplication and division. Summation is the sequential addition on a set of numbers. Summation formula and Sigma (Σ) notation.

Series to sigma notation calculator