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Triangular numbers can be represented with equilateral triangles formed by dots. The first five triangular numbers are 1, 3, 6, 10 and 15. Is there a direct variation between a triangular number and it’s position in the sequence? Explain your reasoning

Respuesta :

variation is y = kx  where y  would be the value of the number and x would be its position in the sequence, k is a constant 


so for consecutive values y/x would be a constant k 

In this case its not true becuse for example  3/1 = 3 and 6/3 = 2 


so there is no direct variation here.

Answer:

The sequence is not a direct variation.

There is no constant of variation.

The sequence cannot be described by the equation

y = kx.

The points do not lie on a line.

Explanation:

these are the little multiple choice things that they ask that your answer has in it this i all you really need to have

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