1. (5 pts) Determine the minimum number of terms needed when using the Remainder in Alternating Series to approximate the sum of the convergent series, 2k=1 72) to within 10 6. Find the (-1) k+1 approximated sum and round your final answer to 9 decimal places. Show are your work.fn 3. (10 pts) Let an = In+, where { } is the Fibonacci sequence. Complete the following. a. Show that an+1 = 1 + -. an b. Assume that {an } converges, find its limit. Show all your work.COS(KIT) 4. (10 pts) Determine whether the series Zk=2 3/12-1 converges absolutely, converges conditionally, or diverges. Show all your work