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Series 3

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The program is written here to find the value of the below series

The value of ‘n’ is taken as input.

If the value of ‘n’ is 2 then the value will be:

Using the ‘for’ loop the value of the series is calculated.

INPUT: The number of terms

OUTPUT: The sum of the series

PROCESS:

Step 1: [Taking the input]

Read n [number of terms]

Step 2: [Calculating the sum of the series]

Set s<-0

Set t<-1

[Finding the sum]

For i = 1 to n repeat

Set s <- s + (t×t)/(t×t×t)

Set t<-t+2

[End of ‘for’ loop]

[Printing the result]

Print "The sum of the series is: s"

Step 3: Stop.

TIME COMPLEXITY:

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

{

s = s + (t*t)/(t*t*t);

t+=2;

}

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.