FOR FREE YEAR SOLVED
Series 5
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The program is written here to find the value of the series 4+7+4+7+....... 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:
4+7+4+7=22
Algorithm
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
Code
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.
