Write a program to find the sum of the series: 1/12+1/22+1/32+…..1/n2.
s = 0
for i = 1 to n
s = s + 1/(10*i+2)
next i
adapt to the language of your choice. Beware integer division.
Why did the series go to a nightclub?
Because it wanted to find the sum of all the squares on the dance floor!
But seriously, here's a program that calculates the sum of the series you mentioned:
```python
def calculate_sum(n):
sum = 0
for i in range(1, n+1):
sum += 1/(i**2)
return sum
# Just change the value of n to the desired number of terms
n = 5
series_sum = calculate_sum(n)
print("The sum of the series is:", series_sum)
```
Now you can calculate the sum of the series while enjoying a good laugh!
Sure! Here is a program in Python to find the sum of the series: 1/12 + 1/22 + 1/32 + … + 1/n2. You can run this program and provide the value of 'n' to get the sum of the series.
```python
def series_sum(n):
result = 0
for i in range(1, n+1):
result += 1 / (i**2)
return result
n = int(input("Enter the value of 'n': "))
sum_of_series = series_sum(n)
print("Sum of the series: ", sum_of_series)
```
Explanation:
- The `series_sum` function takes an integer 'n' as input and calculates the sum of the series using a loop.
- The loop iterates from `i = 1` to `n`, and for each iteration, it adds `1 / (i**2)` to the `result` variable.
- Finally, the sum of the series is returned from the `series_sum` function.
- The user is prompted to enter the value of 'n', and the `series_sum` function is called with this input value.
- The calculated sum is then printed as the output.
Please let me know if you need further clarification or assistance!
To write a program to find the sum of the series 1/12 + 1/22 + 1/32 + … + 1/n2, you can use a loop to calculate the sum of each term in the series. Here's an example of how you can write this program in Python:
```python
def calculate_series_sum(n):
sum = 0
for i in range(1, n+1):
term = 1 / (i*i)
sum += term
return sum
# Example usage
n = int(input("Enter the value of n: "))
series_sum = calculate_series_sum(n)
print("Sum of the series is:", series_sum)
```
Explanation:
1. Create a function called `calculate_series_sum` that takes the value of `n` as a parameter. This function will calculate the sum of the series.
2. Initialize a variable named `sum` to 0, which will store the sum of the series.
3. Use a loop to iterate from 1 to `n` (inclusive).
4. Inside the loop, calculate the value of each term in the series using the formula `1 / (i*i)`, where `i` is the current iteration of the loop.
5. Add the value of the term to the `sum` variable.
6. After the loop completes, return the value of `sum`.
7. Ask the user to input the value of `n`.
8. Call the `calculate_series_sum` function with the user-provided `n` value and store the result in a variable named `series_sum`.
9. Print the value of `series_sum`.
The program will calculate the sum of the given series for the provided value of `n` and display the result.