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

Manual addition was for suckers, and Gauss found a formula to sidestep the ... The above method works, but you handle odd and even numbers differently.

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 ...

nzmaths.co.nz/gauss-trick-staff-seminar

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.

nrich.maths.org/2478

Find out how Carl Gauss responded when he was asked to do just that. ... Gauss could have used his method to add all the numbers from 1 to any number - by ... all use similar clever counting to come up with a formula for adding numbers.

superm.math.hawaii.edu/_lessons/k_five/gauss_addition.pdf

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.

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 ...

www.nctm.org/Publications/Teaching-Children-Mathematics/Blog/The-Story-of-Gauss

Oct 10, 2014 ... Gauss recognized he had fifty pairs of numbers when he added the first ... for finding the sum of a series of consecutive numbers: n(n + 1)/2.

mathmomblog.wordpress.com/2007/08/25/pairing-up-with-gauss

Aug 25, 2007 ... A number of people seem to be finding this post by searching for things like " adding up numbers in a sequence" or ... Adding Arithmetic Sequences by Pairing Off ... Use the pairing up method to find each of the following sums:.

math.stackexchange.com/questions/2260/proof-for-formula-for-sum-of-sequence-123-ldotsn

Aug 12, 2010 ... This trick is usually attributed to Gauss (when he was a schoolboy... ..... Legend has it that Gauss used this method to find the sum of all numbers from 1 to 100 ... notice that you are ten times adding 1+2+3+4+5+6+7+8+9 = 45.