Question

A playground is being designed where children can interact with their friends in certain combinations.

If there is 1 child, there can be 0 interactions.
If there are 2 children, there can be 3 interactions.
If there are 3 children, there can be 12 interactions.
If there are 4 children, there can be 39 interactions.

Which recursive equation represents the pattern?

Answer 1

I'm not exactly sure how you would create the equation but I can see the pattern is
a = interactions
2 children = 1 child a + 3 , have x = 3
3 children = 2 children a + x^2 + x,
4 children = 2 children a + x^3 + x^2 + x

1 0
2 0+3^1
3 0+3^1+3^2
4 0+3^1+3^2+3^3

Answer 2

im stuck too what is the equationplease help is the only one im stuck with

Answer 3

help please