# Summation – Examples, PDF

When comparing the satisfaction of employees under a modified condition and employees without the modifier, it is very hard to write down the full equation. It is easier to note the equation in short-hand form by using the summation.

## What Is a Summation

Summation or summation notation is the sum of all the numbers and variables in a data set or a series. The summation symbol is uppercase sigma or Σ. Summation is a facet of algebra that is often used in biological data and other scientific research and fields. If you want to learn more about summations, you may view any of the summation formulas, summation samples, and summation examples on the list above.

## How to Solve a Simple Summation of Given Numbers

The basic structure of a summation is Σni=x i. Where n is the upper limit of all the numbers, i = x is the lower limit of all the numbers in the series, x is where the summation will begin, and i is the variable or series that will be summed.

### 1.) Write Down the Summation Formula

Begin by writing down the summation formula on a piece of paper or digital note-taking software. This step will help you visualize and take note of the specific parts of the formula.

### 2.) Figure Out the Type of Simple Summation that is Asked

You must discern what type of simple summation is being asked by the question. If the question is asking for the summation of all natural numbers in the series you must use the format of Σni=2 = [n(n+1)]/2. When the question is asking for the summation of the first odd numbers you must use the format of Σni=2 (2i + 1) = n2. If the question is asking for the summation of the first even numbers you must use the format of Σni=2 2i = n(n + 1).

### 3.) Substitute the Formula with the Given Numbers

After you have chosen and discerned the type of simple summation you need to use, substitute the given variables into the chosen summation formula. This is essential as different factors will be affected by the number associated.

### 4.) Solve the Summation

You must now solve the summation you have written down using the formula. Just note that if there is an identifying value like kg, m, or mi, then add it to the final answer.

## Why is it important to learn all about summation?

Summation is the sum of all the numerical values in a specific data set and has many uses in science. It is important to learn about summation because of its application in specific sets of logical operations. Not only does it contribute to problem-solving and logic formation, but standard summation will also act as a standard form of writing the sum of all the parts.

## What are real-life examples of summation?

Summation has plenty of real-life applications which mostly cater to science and research. An example of the usage of summation is in the comparison of two target populations of workers, where one of the target populations has a modifier and the other without, and their overall workplace satisfaction. Applying summation to the satisfaction of both populations allows you to obtain, compare, and contrast the overall satisfaction of both populations with ease.

## What is an infinite series?

There is a type of summation called the infinite series. Which is the infinite sum of an infinite amount of series. This means that as the summation progresses further into the series the sum increases in size. The answers in turn will be expressed as irrational numbers. But if you specifically search for a certain portion of the infinite series, then you will come up with an answer in the form of a real number or a rational number.

The summation is the sum of a specific set of specified numbers and will act as the short form of the sum of all numbers. The summation has many uses in the field of research and science.