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Series 12

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

The number of terms is taken as input from the user. A for loop is used here to find the value of the series.

If the value of ‘n’ is 3 then the value of the series will be:

INPUT: Number of terms

OUTPUT: Value of the series

PROCESS:

Step 1: [Taking the input]

Read n [number of terms]

Step 2: [Calculating the value of the series]

Set s<-0

Set sign<-1

[Calculating the series]

For i=1 to n repeat

Set s<-s+(sign×(i/(i+1)))

Set sign<-sign×(-1)

[End of ‘for’ loop]

[Printing the result]

Print "The value of the series is: s"

Step 3: Stop.

TIME COMPLEXITY:

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

{

s=s+(sign*(i/(i+1)));

sign=sign*(-1);

}

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.