In the following case: 1+2+3+.....+36=
2007-01-25 16:11:56 · 6 answers · asked by emanuel s 1 in Science & Mathematics ➔ Mathematics
The easiest way to do it is (1+36)/2 multiplied by 36
that is equal to 37X18=666
2007-01-25 17:06:44 · answer #1 · answered by alpha 7 · 0⤊ 0⤋
Reverse the sum as shown with a simpler example 1 to 7
1 2 3 4 5 6 7
7 6 5 4 3 2 1
----------------
8 8 8 8 8 8 8
8 * 7 = 56
Divide by 2 and get 28
Similar idea applies to 1 through 36
I think it was Gauss who was about 5 years old at the time who first discovered this idea.
2007-01-26 01:09:05 · answer #2 · answered by z_o_r_r_o 6 · 0⤊ 0⤋
maybe add 1+36 2+35 3+34 all equal 37 and there are 18 pairs so 18 x 37 = 666 maybe I did that wrong not sure something to do with complimentary numbers -- fuzzy memory sorry
2007-01-26 00:22:05 · answer #3 · answered by --------------- 2 · 0⤊ 0⤋
666
2007-01-26 00:26:47 · answer #4 · answered by beachboy6819 2 · 0⤊ 0⤋
n(n+1)/2 is the net result
36*37/2=666
2007-01-26 00:18:39 · answer #5 · answered by ? 2 · 1⤊ 0⤋
the answer is 656 i did it on the calculator on my comp
2007-01-26 00:19:18 · answer #6 · answered by haylee 1 · 0⤊ 0⤋