Answer following questions. SHOW YOUR WORK!

Let 4 5 6 {ann=1 = 15' 25'125' 625 3125 (a) Find a formula for the general term an of the sequence assuming the pattern of the first few terms continu (b) Using algebra or calculus show that the sequence is monotonic decreasing. (c) Is the sequence bounded? If so find upper and lower bounds. (d) Is the sequence a, convergent? Explain your answer. (e) Apply an appropriate test to determine if ) a, is convergent or divergent. n=1If the Nth partial sum of an is SN = 1+ - find the following: (a) The first, a1, and general term a of the sequence. (b) The sum of the series, an