Q) The sum of the squares of the first ten natural numbers is,
Solution: Python: ================= def SumSqr(n): x = (n*(n+1)/2)**2 - (n*(n+1))*((2*n+1)/6.0) return x print int(SumSqr(100))
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.
Solution: Python: ================= def SumSqr(n): x = (n*(n+1)/2)**2 - (n*(n+1))*((2*n+1)/6.0) return x print int(SumSqr(100))
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