The number m is a square number if and only if one can arrange m points in a square. X n 1 n 1 n 2 2. The sum of any set of consecutive odd numbers starting with 1 is always equal to the square of the number of digits that were added together.
According to math legend the mathematician Carl Friedrich Gauss at the age of 8 came up with a method for quickly adding the consecutive numbers between 1 and 100.
Sum sum of two middle numbers number of consecutive numbers. HttpsyoutubeaaFrAFZATKUHere we have a simple algebraic derivation of formula to find the sum of first n square numbers. Then divide by 2. Sum of first odd number 1.