ang sarap ng feeling na independently makahanap ka ng solution sa problem

Slashdot | George Dantzig, 1914-2005:

"Kids in a second grade class in Brunswick, Germany were asked to sum all integers from 1 to 100. That should have kept them busy for a while but some 8-year old boy - son of a peasant gardener - said in bored voice: 'the result is 5050 of course, 50 times 101 '. His name was Gauss."

1 to 100 = 5050

100 / 2 = 50
100 + 1 = 101
50 * 101 =5050


1 to 10 = 55

10 / 2 = 5
10 + 1 = 11
5 * 11 = 55

my own experience in solving these same problem:

realty surcharging scheme: say 7 months late, they compound
penalty starting from 7 months downto 1 month. that is:

7 + 6 + 5 + 4 + 3 + 2 + 1

so 28 months of penalty

my client in realty did it manually to compute surcharge for delayed payment:

then i independently come with this formula on my own:

= (n * (n + 1)) / 2

= (7 * 8) / 2

= 28