Determine the uniform series of payments that correspond to each condition and sketch a cash flow diagram.

1. A present worth of $500 with an interest rate of 10% and payments in periods 1 through 5.
2. A future value of $2000 in period 10 with an interest rate of 12% and payments in periods 1-10.
3. A future value of $5000 in period 10 with an interest rate of 5% and payments only in periods 1-8.