2. Ned pays $150 per month on a credit card loan of $10,000, with interest of 24% com- pounded monthly (so 2% per month). Let pn be the amount he owes on the card after n months. (a) Give a recurrence relation for Pn (b) Solve this recurrence relation. (c) After how many months, if ever, will Ned pay off the debt? (d) Changing the payment, what is the maximum payment that Ned can make and never pay off the debt? (What payment keeps the principal constant)?! (e) What should the payment be to pay off the debt within 36 months