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7) (25 points) First draw a cash flow diagram for the cash flow series shown below. Then write an expression (e.g., P = 500(P/A 5%, 3) + 100(P/G 5%, 3) + ...) for the present worth of the following cash flow series. You must use at least one uniform series factor, one arithmetic gradient series factor, and one geometric gradient series factor. i = 5% per period. No calculations are needed. | EOY Cash | Flow 0 | -2,000 1 -6,000 2 -6,300 3 -6,600 4 -6,900 5 7,000 6 4,000 7 4,800 8 9 5,760 | 6,912 10 8,000 a) (5 points) Draw the cash flow diagram for the above cash flow series. b) (20 points) Write down the expression for the present worth of the above cash flow series