FOR FREE YEAR SOLVED

Series 9

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

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

For example, if the input is 3, then the output will be:

INPUT: 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

Set f <- 1

[Finding the sum]

For i = 1 to n repeat

Set f<-f × i

Set s <- s + (f / i)

[End of ‘for’ loop]

[Printing the result]

Print "The sum of the series is: s"

Step 3: Stop.

TIME COMPLEXITY:

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

{

f=f * i;

s = s + (f / 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 this program is O(1) as it requires a constant number of memory spaces for any given input.