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Series 10

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Here the program is written to find the value of the below series

Here, the number of terms ‘n’ is taken as input. A ‘for’ loop is used here to find the value of the series.

For example, if the input is 3 then the value of the series will be:

INPUT: The number of terms

OUTPUT: The value of the series

PROCESS:

Step 1: [Taking the input]

Read n [Number of terms]

Step 2: [Finding the value of the series]

Set s<-0

[Finding the sum of the series]

For i=1 to n repeat

Set s<-s+ii/i

[End of ‘for’ loop]

[Printing the sum of the series]

Print "The sum of the series is: s"

Step 3: Stop.

TIME COMPLEXITY:

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

s=s+pow(i,i)/i;

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

SPACE COMPLEXITY:

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