SOLUTION: hello my friend !! I am in need of help. John. will provide a service for a friend for 45 days. Which of the options below is most advantageous to him? 1) receive 20 trillio

Question 1163727: hello my friend !! I am in need of help.
John. will provide a service for a friend for 45 days. Which of the options below is most advantageous to him?
1) receive 20 trillion of dollars at the end or
2) one cent on the first day, two cents on the second day, four cents on the third day, eight cents on the fourth day ... until completing the 45 days.
Use ONLY exponentials and / or logarithms. (do not use geometric progression)

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I thought that way

0,01.2^0
0,01.2^1
...
0,01.2^44

= 0,01.2^0 + 0,01.2^1 + ... + 0,01.2^44)
=0,01(2^45-1) ????? (do not use geometric progression)

and then?

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Using a zero-based count, the payment on the 45th day would be

so you want:

Which comes to 35.18 trillion CENTS which is 351.8 billion DOLLARS. Take the 20 trillion dollars.

John

My calculator said it, I believe it, that settles it

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