132k views
1 vote
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 its position in the sequence? Explain your reasoning.

User Danya
by
8.3k points

2 Answers

2 votes
A direct variation means proportionality. Triangular numbers are quadratic in n. T(n)=n(n+1)/2. So no.
User Brian Var
by
7.6k points
1 vote

direct 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.



User Sanjeet
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories