need a maths whizz

Ewanb75

Ewanb75

Ewanb75

Associate
Joined
15 Jan 2007
Posts
1,928
Location
Dumfries, Scotland
Quick discussion In the pub. We are saving a penny the first day, then 2p, then 4p etc for a year. What's the end answer, I cant at the moment suss this out (beer addled)

Thankee
 
£375,766,813,243,813,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000

(or £751,533,626,487,627,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 if it's a leap year)
 
if you're putting in 1p the first day, then topping it up to 2p the next day, then topping it up to 4p the next day then your answer will be 2^364 pence or 2^365 pence if its a leap year (remember 1p = 2^0)

if you are paying in 1p the first day, then paying 2p the next day (total of 3p) then paying 4p the next (total of 7p) then at the end of the year you will have 2^0 + 2^1 + 2^2 + ... + 2^364 pence. This should equal (2^365) - 1 pence, or (2^366) - 1 pence if its a leap year

as everyone has said, this is basically 375 with 107 zeros after it in pence, or 375 with 105 zeros after it in pounds
 
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