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 9 interactions. . If there are 4 children, there can be 18 interactions. . Which recursive equation represents the pattern? (2 points)

Answer 1

We are given with:when n=1, a(1) = 0 n=2, a(2) =3 n=3, a(2) =9 n=4, a(2) =18The equation that suits the conditions is a(n) = a(n-1) + (n-1)*3