Summation Calculator

Summation Calculator with Sigma Notation  

Summation calculator (solver) is a free tool that computes the partial sum of a series of functions or expressions. This sigma notation calculator needs an equation, function, or expression to proceed further.

To use this summation notation calculator just enter the expression or function to the right of the summation notation (Σ) and set the range values above & below the symbol. 

How to Use the Summation Calculator?

Follow the below simple steps to find the sum of a series or expression by using our sigma notation calculator:

• Enter the Function or Sequence: Input the mathematical expression or sequence along the right side of sigma notation. i.e., x²+2x, x*cos(x²).
• Set the Lower & Upper Bound: Set or write the starting and ending values of the summation index on the above or below the summation notation.
• Press Button: Now, press the “calculate” button to compute the total sum of the expression or function instantly.

What is Summation?

Summation is the mathematical operation that is used to calculate the total sum of a sequence of numbers or terms by adding. Summation (aka sum) is the result obtained after adding the numbers of a sequence.

Summation indicates the sum of elements in a set or sequence of any function or expression over a specified range. It is used in mathematics, statistics, and various scientific fields to simplify expressions and analyze data.

It is represented by the Greek letter sigma (Σ) and is known as sigma notation. Summation notation (sigma notation) is used to represent a long sum in a single expression.

Formula for Summation

Sigma notation formula for any function is represented as:
∑_i=a^b f(i) = f(a) + f(a+1) +...+ f(b)
where: 
•    a = Lower limit of summation
•    b = Upper limit of sigma 
•    f(i) = Function or sequence

Summation notation Example:

Solve:

Solution:

Step 1: Understand the operations:

Values = 3 to 7 = 3, 4, 5, 6, 7

Equation = 2n - 3

Step 2: Put the values in the equation:

For n = 3

2(3) - 3 = 3

For n = 4

2(4) - 3 = 5

For n = 5

 2(5) - 3 = 7

For n = 6

2(6) - 3 = 9

For n = 7

 2(7) - 3 = 11

Step 3: Add all the results:

= 3 + 5 + 7 + 9 + 11

= 35