Simple maths question [closed]
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Improve this questionWhat is it called when you add numbers from 1 ..n . I know when you开发者_JAVA百科 multiply them its called factorial
1* 2 * 3 * 4* 5 = 5!
what is it called when its
1+2+3+4+5 =15?
It seems to be called a Triangular number
and it is equal to n(n+1)/2
It's a triangular number.
http://en.wikipedia.org/wiki/Triangular_number
you could write it in summation form
http://en.wikipedia.org/wiki/Summation
but other than summation I don't think it has a special name.
This is named "Arithmetic progression": http://en.wikipedia.org/wiki/Arithmetic_progression
Cumulative sum or prefix sum
I would call it "summation from 1 to n." Which is really shorthand for "summation of i where i ranges from 1 to n".
I don't believe it has a special name, but the numbers that result are known as the Triangluar Numbers.
Sum of an Arithmetic Progression. You can even use a formula to calculate it quickly
s= n/2(2a+(n-1)d)
where
s = sum of progression, n = number of terms, a = value of first term, d = difference between 2 terms
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