Please use R LANGUAGE to solve these problems step by step

[4] (6 points) Consider the sequence {en}n=1,2,... given by x1 = 1, x2 = 2, x3 = 4 and n = In-1 + In-2 - In-3, Vn>4. (a) Find X 100 (b) Find the value of the largest term which is less than 1,000. (c) Find the number of the terms which are less than 1,000. (d) Define un = rn Xn-1 for every n > 2. Is this sequence {Un}n=2,3.... convergent? If yes, find the limit. (e) Define un = In Xn-2 for every n > 3. Is this sequence {Un}n=3,4,... convergent? If yes, find the limit. (f) Define wn = log(xn) log(In-1) for every n > 2. Is this sequence {wn}n=2,3,... convergent? If yes, find the limit. =