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Square Series

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Description

Square series in C,C++,Java and Python

The program is written here to print the value of series 

 

The value of ‘n’ is taken as input from the user. For loop is used here to calculate the sum of the series. 

 

If the value of n is 3, then the output of the series will be calculated as:

Algorithm

INPUT: The number of terms

OUTPUT: The sum of the series

PROCESS:

Step 1: [Taking the input]

               Read n [the number of terms]

Step 2: [Calculating the sum of the series]

               Set s<-0

               [Finding the sum of the series]

               For i=1 to n repeat

                              Set s<-s+(i×i)

               [End of ‘for’ loop]

               [Printing the sum of the series]

               Print "The sum of the series is: s"

Step 3: Stop.

Code

TIME COMPLEXITY:

for(i=1;i<=n;i++)---------------------------------- O(n)

                              s=s+(i*i)

 

The time complexity of this program is O(n) where ‘n’ is the number of terms of the series.

 

SPACE COMPLEXITY:

The space complexity of this program is O(1) as it requires a constant number of memory spaces for any given input.