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C. Solve the following problems by deduction: 1. Use deductive reasoning to show that the following produces always the number 3. Pick a number. Add 5 to it. Subtract 7 from the result. Subtract twice the original number from the previous result. 2. Use deductive reasoning to show that the following produces always the original number increased by 2. Pick a number. Multiply it by 4. Add 8 to it. Divide the result by 4. 3. The nth term formula for the maximum number of pieces of baked cheese cake, P., that can be produced by n straight cuts is P. =- n(n+1) 2 a. Use the nth term formula to determine the maximum number of pieces that can be produced by 7 straight cuts. b. What is the smallest number of straight cuts that you can use if one wishes to produce at least 45 pieces