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Series 2
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The program is written here to find the value of the series 1+ 1/2 + 1/3 + 1/4 + 1/5 + .. 1/N. Here, the number of terms is taken as input, and then using a for loop the sum of the series is calculated.
For example, if the value of ‘n’ is 2, then the sum of the series will be:
1+1/2 = 1+0.5 = 1.5
Algorithm
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 <- 0.0
[Finding the sum]
For i = 1 to n repeat
Set s <- s + 1 / i
[End of ‘for’ loop]
[Printing the result]
Print "The sum of the series is: s"
Step 3: Stop.
Code
TIME COMPLEXITY:
for (i = 1; i <= n; i++)-----------------------------O(n)
{
s = s + 1 / i;
}
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.
