When n=1 there is 1 dot. when n=2 there are 3 dots, when n=3 there are 6 dots. notice that the total number of dots increases by n each time. use induction to prove that
d(n)= n(n+1)/2

part A: prove the statement is true for n=1

part B: Assume that the statement is true for n=k + 1, therefor proving it true for all natural numbers, n.

hint* since the total number of dots increase by n each time, prove that d(k) + (k+1) = d (k+1)

*please answer i really need help!!