accounting linear difference model, with a recursive sequence to figure out. 4 part question.

Section III: Lin x ear Difference Models ' ' - thl Rodngo Just Opened a checking account with a starting balance of $3,000. HIS bank offers a mo" V annual in erest rat nth, . t e of 2% (no bank would ever actually do this - sorry). At the end of each mo Rodrigo withdraws (r . dditional . emoveS) $100 from his bank account. Assume that Rodngo makes no a deposnts into this account. la) How much money will be in his account after one month? (It) The balance in Rodrigo's account can be modeled by the recursive sequence u1(n) = u1(n - 1) (1. 02) - 100 where u1(0) = 3000 Explain the meaning of u1(0) and ul(n) in this situation. (c) Using the recursive sequence in part (b), determine the balance in Rodrigo's account at the end of 1 year (12 months). we wilmawillit take before Rodrigo runs of out money in his account