Exercise. Suppose that {a }=o is a geometric series, part of which is shown below: 5 __+___ _+i 9 27 81 WIUI Write the series in summation notation with the lower index starting at k = 0: f: 5/3A(k+1) a k=D Exercise. Select all of the following series that are geometric: .1: 2:1 E 5 22:1 F ? Check work Exercise. Consider the geometric series: 379+] on 2 2k+1 k=1 2 Determine Whether the seriaa converges or diverges. If it converges, give the value to which it converges. The series diverges. The series converges. Exercise. The series converges to I. Exercise. Determine Whether the series below converges or diverges. Let 5,, = 23:] me. All explicit formula for .5,1 for n 2 1 is: Exercise. Determine whether the series below converges or diverges: 3 k2 - 2k Let sn = 2k-3 ak for n 2 3. An explicit formula for sn for n 2 4 is: = Sn Hence, limn-+co Sn= ? <