Summation Notation Calculator

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Summation notation is shorthand used to give an expression for sum of the values of a variable. We have n numbers of values for the variable x. We will write it as:

n
∑xi
i=1 

n= stopping point, upper limit of summation

xi= typical element

i= 1 starting point, lower limit of summation

∑= summation sign

Summation notation calculator is used to find the sum of series



Example 1: Compute the summation for x2

i = 1 , 2 , 3 , 4

xi = 1, 2, 3, 4

In this problem we need to square the value of x. Therefore we will have to take the all the 4 values to x and square it, and then add them to get the solution.

4
∑xi2 = (x1)2 + (x2)2 + (x3)2 + (x4)2 = 1+4+9+16 = 30
i=1

Answer = 30



Example 2: Compute the summation for xy

xi = 1, 2, 3, 4

yi = 3, 2, 5, 6


In this problem we need to multiply the value of x with y and then square it. Therefore we will have to take the all the 4 values to x multiply it by y and square it.

4
∑xiyi = (x1y1)2 + (x2y2)2 + (x3y3)2 + (x4y4)2 = (1x3)2+(2x2)2+(3x5)2+(4x6)2
i= 1




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