# Difference Of Squares in Scheme

#### Find the difference between the square of the sum and the sum of the squares of the first N natural numbers.

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# Difference Of Squares

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

The square of the sum of the first ten natural numbers is (1 + 2 + ... + 10)² = 55² = 3025.

The sum of the squares of the first ten natural numbers is 1² + 2² + ... + 10² = 385.

Hence the difference between the square of the sum of the first ten natural numbers and the sum of the squares of the first ten natural numbers is 3025 - 385 = 2640.

## Source

Problem 6 at Project Euler http://projecteuler.net/problem=6

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