1) Only need to do the red questions

(1 point) In each part, find a formula for the general term of the sequence, starting with n = 1. Enter the following information for an =. (a) Lag, an = (1/(3A(n-1))) (b) vara an = (1/((-3)"(n-1))) (C) 2 3 g 30 3'9'27'E"" an = l (3n1)/(3n) (d) S: a II (1 point) Consider the series _ _ 2 w w w 2'1"\" 9) + 4-2! + 16-3! + 64-4! + \":11" Find an expression for an. an = In the summation formula n starts at n = no . What is your starting index 110 ? n0 = (Note that because the validity of either of your answers depends on the other, if you enter only one, both will be marked wrong.) (1 point) What can you say about the series 2 an in each of the following cases using the Ratio Test? Answer "Convergent," " Divergent," or "lnconclusive. " . a 1 Convergent v 1- 11111 "+ 0.2 nmo an . - 1 Divergent v 2- 11m "J\" 1 nvoo an . . 1 Divergent v 3- 11111 "J\" 5 nwo an Note: You only have two attempts at this problem. (1 point) Use sigma notation to write the Taylor series about x = Xo for the function. e , xo = -1. Taylor series = M K=0