anonymous
  • anonymous
A rich aunt tells you that you can choose one of the following: A. During a period of 15 days, she will give you 1 cent the first day, give you double that the second day, give you double the second on the third day and so on. B. She will give you $100. Which option would give you more money, A or B? A. A B. B i wrote B would this be correct? (:
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
A.1 +2^1 + 2^2 + 2^3 +........+ 2^14 = S 1 + 2 x (1 +2^1 + 2^2 + 2^3 +........+ 2^13) = S 1+ 2 x ( S - 2^14) = S 1+ 2S - 2^15 = S S = 2^15 - 1= 32767 cents = 327.67 $ B. 100 $ Offer A is better
anonymous
  • anonymous
Hmmm alright then my math was off (: Thanks
anonymous
  • anonymous
no problem

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