Situation:
You are a private consultant for Fortune 500 companies, and you are negotiating your salary with Apple. The CEO offers you a position paying a total of $10,000 for 30 days. You suggest compensation that pays one penny the first day, 2 pennies the 2nd day, 4 pennies the 3rd, 8 pennies the 4th day and continues to double each day for the same 30 day period.

Strand i: List how much money will be made over the first five days for your option.

Strand ii: Write the explicit rule. (REMEMBER: 3 pennies is $0.03)

Strand iii: Prove mathematically that your suggestion is better than the original offer and write a statement to justify reasoning.