TriangleNumber ( n )

Returns a Triangle Number

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Steven McGill
Computech IT Services
http://www.computech-it.co.uk

Sample input:

TriangleNumber ( 5 )

Sample output:

Function definition: (Copy & paste into FileMaker's Edit Custom Function window)

/**
********************************************************************************
********************************************************************************
*
* TriangleNumber ( n )
*
* Author: Steven McGill 2013 Computech IT Services Ltd.
* Last Update: 15/01/2013
*
* Returns the Triangle Number for n
* 
* n = 1 result = 1
* n = 2 result = 1 + 2 = 3
* n = 3 result = 1 + 2 + 3 = 6
* n = 4 result = 1 + 2 + 3 + 4 = 10
*
********************************************************************************
********************************************************************************
**/

If (
	n <= 0 ;
	0 ;
	Let (
		[
			n = Round ( n ; 0 )
		] ;

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

A triangular number or triangle number counts the objects that can form an equilateral triangle, as in the diagram on the right. The nth triangle number is the number of dots in a triangle with n dots on a side; it is the sum of the n natural numbers from 1 to n.
http://en.wikipedia.org/wiki/Triangular_number

n = 5 returns 1+2+3+4+5 = 15

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TriangleNumber ( n )

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