Problem:
The sum of the squares of the first ten natural numbers is, 12 + 22 + ... + 102 = 385
The square of the sum of the first ten natural numbers is, (1 + 2 + ... + 10)2 = 552 = 3025 Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 − 385 = 2640. Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.
The sum of the squares of the first ten natural numbers is, 12 + 22 + ... + 102 = 385
The square of the sum of the first ten natural numbers is, (1 + 2 + ... + 10)2 = 552 = 3025 Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 − 385 = 2640. Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.
My Solution:
Note: You can simplifies the coding :)
- static void Main(string[] args)
- {
- int min = 1;
- int max = 100;
- int sumOfSq = 0;
- int temp = 0;
- int sqOfSum = 0;
- for (int i = min; i <= max; i++)
- {
- sumOfSq += (i * i);
- }
- for (int i = min; i <= max; i++)
- {
- temp += i;
- }
- sqOfSum = temp * temp;
- Console.WriteLine("Difference between the sum of the squares of the first one hundred"
- + "natural numbers and the square of the sum is :" + (sqOfSum - sumOfSq));
- Console.ReadLine();
- }
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