What is Summation in Mathematics?

Summation is a mathematical operation that combines additive quantities. It is used to find the total or the sum of a set of numbers, and it is denoted by the plus sign (+) or the word "sum".

For example, the sum of 2, 3, and 4 is:

2 + 3 + 4 = 9

In this case, we are adding three numbers together to get a total of 9.

Summations can also be used with more than three numbers. For example, the sum of 2, 3, 4, 5, and 6 is:

2 + 3 + 4 + 5 + 6 = 18

In this case, we are adding six numbers together to get a total of 18.

There are different types of summations, including:

* Sum of a list of numbers: This is the most common type of summation, where we add a list of numbers together to get a total.
* Sum of a sequence: A sequence is a list of numbers that follow a specific pattern. We can use summation to find the sum of a sequence.
* Sum of an array: An array is a list of numbers stored in a table or a matrix. We can use summation to find the sum of an array.
* Sum of a series: A series is a list of numbers that are added together to get a total. We can use summation to find the sum of a series.

Summations are used in many areas of mathematics, such as algebra, calculus, and statistics. They are also used in real-world applications, such as finance, science, and engineering.