2. If a person invests in a tax-sheltered annuity, the money invested as well as the interest earned, is not subject to taxation until withdrawn from the account. In exercises 9, 10 and 12, assume that a person invests $2000 each year in a tax-sheltered annuity at 10 percent interest compounded annually. Let An represent the amount at the end of n years. (a) (5 pts) 7.1.9 Find a recurrence relation for the sequence A0, A1, ... (b) (5 pts) 7.1.10 Find an initial condition for the sequence A0, A1,... (c) (5 pts) 7.1.12 Find an explicit formula for A10 2. If a person invests in a tax-sheltered annuity, the money invested as well as the interest earned, is not subject to taxation until withdrawn from the account. In exercises 9, 10 and 12, assume that a person invests $2000 each year in a tax-sheltered annuity at 10 percent interest compounded annually. Let An represent the amount at the end of n years. (a) (5 pts) 7.1.9 Find a recurrence relation for the sequence A0, A1, ... (b) (5 pts) 7.1.10 Find an initial condition for the sequence A0, A1,... (c) (5 pts) 7.1.12 Find an explicit formula for A10