Please answer the following. Also please do not copy and paste a previously answer chegg question 1. In this question you will prove by mathematical induction the following: For any natural number n1 prove that 13+23+33++n3=41n2(n+1)2 A. Set D What is the set D in the symbolic form nD,P(n) of the theorem you will prove? B. P(n) What is the predicate function P(n) in the symbolic form nD,P(n) of the theorem you will prove? You will now prove the theorem by mathematical induction. No other method is acceptable. Be sure to lay out your proof clearly and correctly and to justify every step. D. Inductive Step of the Proof Write the inductive step of your proof here