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Triangular number

en.wikipedia.org/wiki/Triangular_number

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...

Techniques for Adding the Numbers 1 to 100 – BetterExplained

betterexplained.com/articles/techniques-for-adding-the-numbers-1-to-100/

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.

What is the sum of the first 100 whole numbers?

mathcentral.uregina.ca/QQ/database/QQ.02.06/jo1.html

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  ...

Triangular Numbers and Gauss Summation

www.cut-the-knot.org/Curriculum/Algebra/GaussSummation.shtml

Proofs without words: sum of n consecutive integers is a triangular number. ... Gauss' method is applicable to computing the sum of any arithmetic progression  ...

Arithmetic Series -- from Wolfram MathWorld

mathworld.wolfram.com/ArithmeticSeries.html

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 Integers.

Clever Carl : nrich.maths.org

nrich.maths.org/2478

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, ...

Sum of n consecutive numbers - Mathematics Stack Exchange

math.stackexchange.com/questions/50485/sum-of-n-consecutive-numbers

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 ...

Young Gauss and the sum of the first n positive integers

mathandmultimedia.com/2010/09/15/sum-first-n-positive-integers/

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 ...

How to Add a Sequence of Consecutive Odd Numbers: 14 Steps

www.wikihow.com/Add-a-Sequence-of-Consecutive-Odd-Numbers

Choose an ending point. Before you get started, you need ...

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Gauss' Trick – A Staff Seminar | nzmaths

nzmaths.co.nz

Let's go for adding up Gauss' numbers, all the whole numbers from 1 to 100. .... Method 1: We could write out the numbers from 8 to 93 in the normal order and .... of numbers where there is a common difference between consecutive numbers.

Gauss' Addition Method - SUPER-M

superm.math.hawaii.edu

Students will learn how to find the sum of consecutive, positive integers ... Try adding up all the numbers between 1 and 23 by copying Gauss' method before.

Pairing up with Gauss | Ramblings of a Math Mom

mathmomblog.wordpress.com

Aug 25, 2007 ... Young Gauss's “trick” for finding the sum of an arithmetic progression is .... How does one use this method for Prime numbers or can it be done?