For each n 2, let an 7n3 - 3n 4n28n+7 sin (77). Evaluate the following series: Suggestion: Flex your abstract thinking skills. Work with the given abstract form of S for as long as possible, so that your interactions with the detailed definition of an can be laser-focused and done last. S = n=2 an+1 - an anan+1 Given p(t): 40e8t = 70+ 38e8t consider the series S(t) = e-p(t) log(n) n=1 Find the set of real numbers + for which s(t) converges. Write your answer in interval notation. Interval for convergence: