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

Question

Colt Whitney

English

18 November, 05:14

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

+5

Answers (1)

Know the Answer?

Ray · Answer 1

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.