A triangular number or triangle number counts the objects that can form an
equilateral triangle, ... Carl Friedrich Gauss is said to have found this relationship
in his early youth, by multiplying n...
Feb 13, 2007 ... Manual addition was for suckers, and Gauss found a formula to ... The above
method works, but you handle odd and even numbers differently.
www.ask.com/youtube?q=Gauss Method for Adding Consecutive Numbers&v=ZplzrdKarX4
Jan 29, 2012 ... Topic: The sum 1+2+3+4+...+n What you should know: - Elementary operations.
In elementary school in the late 1700's, Gauss was asked to find the sum of the
numbers from 1 to 100. The question was assigned as “busy work” by the teacher
Proofs without words: sum of n consecutive integers is a triangular number. ...
Gauss' method is applicable to computing the sum of any arithmetic progression
2, ..., in which each term is computed from the previous one by adding (or
subtracting) a constant d . Therefore, for k> ... While his classmates toiled away
doing the addition longhand, Gauss wrote a single number, the correct answer ...
An Elementary Approach to Ideas and Methods, 2nd ed. ... Sums of Consecutive
One day Gauss' teacher asked his class to add together all the numbers from to ...
Gauss's method forms a general formula for the sum of the first integers, ...
Jul 9, 2011 ... Is there a shortcut method to working out the sum of n consecutive ... About the
first... the legend says that Gauss as a schoolboy realized ...
Sep 15, 2010 ... Carl Friedrich Gauss was one of the most prolific mathematicians of all ... In
adding numbers from 1 through 6, for instance, it is clear that we ...
Choose an ending point. Before you get started, you need ...