Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


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

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
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
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

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



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.