HOPEINCHRIST wrote: > SUMMATION CALCULUS. To calculate very simple the > summation of all the numbers at any number in seconds, > like at 19 = 190 > The summation of all the numbers added from > 1-98111 = 4812933216
There's nothing new about that; they're called "triangle numbers".
Thus each triangle number T(n) is: T(0) = 0 T(n) = n + T(n-1), for all n in Z+
Or, instead of a recurrence relation: T(n) = n(n+1)/2