I need help on this question, it requires to code in the MATHEMATICA software so the answer should be in code please!

Use Mathematica code: This is Mathematica code only.

Consider a sequence {vo. Ve+ Vc, Ve+Ve+v. Vc+Ve+Ve+ve+ ...), we want to show that the limit of the sequence is 1+ y +4c. Now let c= 2, please use 'NestList' or 'Nest' function to construct such a list with 15 entries. Then use 'List Plot' to plot the list and also plot the asymptote y = 1+v1+1x2 = 2 in a dashed line in the same graph. You should obtain a graph simlar to the one below. B 10 12 14 Consider a sequence {vo. Ve+ Vc, Ve+Ve+v. Vc+Ve+Ve+ve+ ...), we want to show that the limit of the sequence is 1+ y +4c. Now let c= 2, please use 'NestList' or 'Nest' function to construct such a list with 15 entries. Then use 'List Plot' to plot the list and also plot the asymptote y = 1+v1+1x2 = 2 in a dashed line in the same graph. You should obtain a graph simlar to the one below. B 10 12 14