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.
Solution
The solution is very simple and here we have used functions from our previous posts: sum_of_numbers.m and sum_of_squares.m
Please have a look at these two posts, so that it will be very easy to understand the below problem:
Program
>> ssd = sum_of_numbers(100)^2 - sum_of_squares(100) ans = 25164150
The above code was highlighted using : hilite.me
Run the program and comment below the output you are getting for a given input.
Keywords: sum square difference, projecteuler.net, problem6