1. A savings account in a bank with interest accruing quarterly can be modeled by the input/output difference equation

1- (10 points) A savings account in a bank with interest accruing quarterly can be modeled by the input/output difference equation, v[n+1]-(1+ H) [n] = x [n+1] where yn) is the amount in the account at the end of the nth quarter, x[n] is the amount deposited in the nth quarter, and I is the yearly interest rate in decimal form. Assume that I = 10%, y[0] = $2,000, x[0] = $1,000. a) Compute by hand y[n] for n= 1, 2, 3, 4, and 5. b) Write a code in Matlab to compute the output sequence y[n] c) Plot y[n) using the stem' plot 2- (10 points) For the following difference equation write a Malab code that performs a recursion to solve for y[n], for () <>