Question

Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.

Answer 1

Answer:

25,164,150

Step-by-step explanation:

Find the sum of the square of the first 100 natural numbers:

Sum of n² =  (n(n + 1) (2n + 1)) / 6

Sum of n² = (100 (100 + 1)(2(100) + 1) ) / 6 = 338,350

Find the square of the sum of the first 100 natural numbers:

Sum of n = n(n +1 )/ 2

Sum of n = 100 (100 + 1) / 2 = 5050

Square of the sum = (5050)² = 2,5502,500

Find the difference:

Difference = 2,5502,500 - 338,350 = 25,164,150

Answer: The difference is 25,164,150