Problem

a. Repeat the following procedure with at least five people. Write a conjecture that relat...

a. Repeat the following procedure with at least five people. Write a conjecture that relates the result of the procedure to the person’s birthday.

Take the number of the month of your birthday (January = 1, February = 2, …, December = 12), multiply by 5, add 6, multiply this sum by 4, add 9, multiply this new sum by 5, and add the number of the day on which you were born. Finally, subtract 165.

b. Let M represent the month number and let D represent the day number of any person’s birthday. Use deductive reasoning to prove your conjecture in part (a).

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