(10 points) Calculate the improper integral if it converges, or show that it diverges. 2 dx V2x + 1 (5 points) Consider the sequence defined by ao = 2, a1 = 7 and an+2 = 3an + 4an+1 for n > 0. (a) Is this sequence defined implicitly or explicitly? Explain your answer. (b) Write down all of the terms in the sequence that are below 500