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Series 5

Back to Programming

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

Here, the number of terms is taken as input.

The value of the series is calculated by using a ‘for’ loop.

For example, if the input is 4, the output will be:

INPUT: Number of terms

OUTPUT: The value after calculating the sum

PROCESS:

Step 1: [Taking the input]

Read n [number of terms]

Step 2: [Finding the sum of the series]

Set sum<-0

Set a<- -3

Set t<-4

[Finding the sum]

For i=1 to n repeat

Set sum<-sum+t

Set a<-a×(-1)

Set t<-t+a

[End of ‘for’ loop]

[Printing the sum]

Print "The sum of the series is: sum"

Step 3: Stop

TIME COMPLEXITY:

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

{

sum=sum+t;

a=a*(-1);

t=t+a;

}

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