Write S = n=7 SN = S = 1 n(n-1) as a telescoping series and find its sum. Consider an = 4n 6n + 1 Determine if each of the following converges or diverges. Note: If it converges, enter the limit (for the sequence) or the sum (for the series). If it diverges, enter divergent. (a) The series (an). Answer: n=1 (b) The sequence {an}. Answer: Consider the following series. Answer the following questions. 1. Find the values of x for which the series converges. Answer (in interval notation): 2. Find the sum of the series for those values of x. Sum: n=0 (x + 2) 2n