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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: DEAD MATHEMATICS : DEMONSTRATION OF PRECISE NUMBERS CALCULUS
Replies: 4   Last Post: Apr 27, 2012 4:19 PM

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David R Tribble

Posts: 3,426
Registered: 7/21/05
Re: DEAD MATHEMATICS : DEMONSTRATION OF PRECISE NUMBERS CALCULUS
Posted: Apr 27, 2012 12:54 PM
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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

Your examples:
T(19) = 19(19+1)/2 = 190
T(98111) = 98111(98111+1)/2 = 4,812,933,216

See: http://en.wikipedia.org/wiki/Triangle_number

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