Thread: looping

hi, i cant figure out this equation and its making me nuts, a man gets 1 cent for the first day, it doubles everyday for 34 days................................next part, when would be become a millionaire?

Originally Posted by mimi1980

hi, i cant figure out this equation and its making me nuts, a man gets 1 cent for the first day, it doubles everyday for 34 days................................next part, when would be become a millionaire?

where M is money (in cents) and n is number of days.

So sub n = 34 and solve for M.

Sub M = (however many cents are in one million dollars) and find the first integer valuem of n such that you've got at least a million dollars. Trial and error might be the best appoach here ..... Hint: From the first part you know n < 34 ......)

Hello, mimi1980!

A man gets 1 cent for the first day, it doubles everyday for 34 days.
(a) How much will he have at the end of the period?
(b) When would be become a millionaire?

He gets: . cents.

This is a geometric series with first term 1 and common ratio 2.

The sum is: . cents.

(a) He will have a total of: .


When does cents?

We have: .

Take logs: .

Hence: .

(b) He becomes a millionaire on the 27th day.

Originally Posted by Soroban

Hello, mimi1980!


He gets: . cents.

This is a geometric series with first term 1 and common ratio 2.

The sum is: . cents.

(a) He will have a total of: .


When does cents?

We have: .

Take logs: .

Hence: .

(b) He becomes a millionaire on the 27th day.

So he keeps the money from each day ......? I assumed he only got whatever the money was on the final day ......