What is Sum in Maths

What does Sum means in Maths?

In mathematics, “sum” refers to the result of adding numbers or terms together. It represents the total obtained by combining individual quantities.

What is an Example of Sum?

An example of a sum is ∑n=15n, which represents the sum of the first five natural numbers: 1 + 2 + 3 + 4 + 5 = 15.

What is the Symbol for Sum?

The symbol for sum is Σ (sigma). It represents the addition of a sequence of numbers or terms.

How to find sum of natural numbers?

The sum of natural numbers can be found using the formula for the sum of an arithmetic series: S = n(n+1)/2​, Where n is the last term.

What is the sum of an arithmetic series?

The sum of an arithmetic series can be found using the formula S = n/2 × (a + l), where a is the first term of series and l is the last term.

Can we find sum of Infinite Series?

Yes, some infinite series can be summed using mathematical techniques like convergence tests or specialized methods such as geometric series or telescoping series.



Sum – Definition, Examples & Formulas

Sum in Maths: In mathematics, the term “sum” refers to the result of adding two or more numbers or quantities together. It’s a fundamental arithmetic operation used to find the total of multiple values. For example, when you add 5 and 7, the sum is 12.

Table of Content

  • What is Sum in Maths? 
    • Sum Definition
    • Sum Notation | Symbol for Sum (+)
  • Sum of Numbers
    • Sum of One-Digit Numbers
    • Sum of Two-digit Numbers
    • Sum of Square Numbers
  • Sum of Numbers on Number Line
  • Sum of First n Natural Numbers
  • Sigma Notation for Sum 
  • Properties of Sum
  • Sum Formulas
  • Practice Problems – Sum in Maths

In this article, we will learn the concept of Sum in mathematics, along with its definition, some examples, and properties of Sum.

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What is Sum in Maths?

The sum is the fundamental arithmetic operation that combines two or more quantities by adding them together to find their total. It can be used to add numbers as well as variables. Also, the sum operation is not limited to just numerical values; it can also be applied to algebraic expressions and mathematical variables....

Sum of Numbers

When two or more numbers are added as a set of numbers that gives a total amount this process is called the addition of summation of numbers. For example, the sum of 3, 5, and 7 is 15 because 3 + 5 + 7 = 15....

Sum of Numbers on Number Line

The total distance travelled from one point on a number line to another is represented by the sum of the numbers on the number line....

Sum of First n Natural Numbers

The sum of the first n natural numbers is a classic problem in mathematics, and it can be solved elegantly with a simple formula. The sum of the first n natural numbers is given by the formula:...

Sigma Notation for Sum

Sigma notation, represented by the Greek letter Σ (sigma), is a concise way to represent a sum of terms in mathematics. It is typically written in the form [Tex]\sum_{i=0}^{n} a_i[/Tex]. This notation denotes the sum of the terms ai​ as i ranges from m to n....

Properties of Sum

There are various properties which hold true for sum (addition), some of these properties are:...

Sum Formulas

Some of the common sum formaulas are:...

Practice Problems on Sum in Maths

Problem 1: Calculate the sum of the first 10 terms of the arithmetic series where the first term, a1 is 5 and the common difference, d is 3....

Conclusion – What is Sum in Maths

In conclusion, addition is the mathematical operation that helps us combine two numbers, variables, or expressions. Using addition operations, we can calculate the total bill for groceries, determine interest on a principal amount, and manage accounts. Addition is the most fundamental operation. In this article, we have explored this operation in detail, including its symbols and other methods to represent it....

What is Sum in Maths – FAQs

What does Sum means in Maths?...