Asked by tommy
If I say I will give you a penny on the first day, 2 pennies on the second day, 4 pennies on the third day, and I just keep doubling and do this for a month, How much money would you have at the end of the month???
Answers
Answered by
Reiny
sum = 1+2+4+8+16+ ...
= 2^0 + 2^1 + 2^2 + 2^3 + ... 2^30
this is a geometric series
= a(r^n - 1)/(r-1)
= 2(2^30 - 1)/(2-1)
= 2 147 483 646 pennies
= $ 21 474 836.46
(check my arithmetic)
= 2^0 + 2^1 + 2^2 + 2^3 + ... 2^30
this is a geometric series
= a(r^n - 1)/(r-1)
= 2(2^30 - 1)/(2-1)
= 2 147 483 646 pennies
= $ 21 474 836.46
(check my arithmetic)
Answered by
Isaac Zamora
Over 10 million
Answered by
Toni
10 dollars
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