None. There is nobody to whom triangular numbers belong.
triangular numbers are created when all numbers are added for example: To find the 5 triangular number (1+2+3+4+5).
I have no idea about trainglar numbers. Triangular numbers are numbers of the form n*(n+1)/2 where n is an integer.
Triangular numbers can be calculated by using the following formula (n * (n+1) ) / 2 so for 30 the answer is (30*31)/2 = 465
Nope Triangular numbers are 1,3,6,10,15,21,28,36
The Nth triangular number is calculated by: N(N + 1) -------- 2 Hope this is useful!
45
None. There is nobody to whom triangular numbers belong.
triangular numbers are created when all numbers are added for example: To find the 5 triangular number (1+2+3+4+5).
There are 2 triangular numbers. Those numbers are 36 and 45. 55 is not an answer since it come after 54. If you get this question, this is the answer.
It is T/2 * (t+1)
I have no idea about trainglar numbers. Triangular numbers are numbers of the form n*(n+1)/2 where n is an integer.
t(n) = n*(n+1)/2
Triangle numbers or triangular numbers are those numbers that can form an equilateral triangle when counting the objects. The first five triangular numbers are: 1, 3, 6, 10, 15.
Just as square numbers represent the number of dots in a square with a certain number of dots on each side, triangular numbers represent the dots that make up different sized triangles. The sequence that defines these numbers is [1 + 2 + 3 + ... + (n - 1) + n], as there is one dot at the top of the triangle, two dots in the next row, three in the next row, and so on (think of the setup for tenpin bowling - ten is the fourth triangular number (1 + 2 + 3 + 4 = 10)). Just as squares have an algebraic representation (x2) as well as a geometric one, triangular numbers can be expressed as (x2 + x)/2 - this can be proven by induction (algebraically), or geometrically. There are other polygonal numbers such as pentagonal and hexagonal numbers. The algebraic representation of these can be found by expressing them as a sum of triangular numbers (based on their geometric representations) Interestingly, the sum of two consecutive triangular numbers, is always a square number. This can be shown geometrically or algebraically as follows: (x2 + x)/2 + [(x + 1)2 + (x + 1)]/2 = [x2 + 2x + 1 + (x + 1)2]/2 = 2(x + 1)2/2 = (x + 1)2 So ALL polygonal numbers are dependent on triangular numbers! Hope this helps, Nick :)
Triangular numbers can be calculated by using the following formula (n * (n+1) ) / 2 so for 30 the answer is (30*31)/2 = 465
6 and 10 are triangular numbers that make 16.