Problema Solution
If your allowance was a penny doubled every day, how many days would it take for you to have over $1000?
Answer provided by our tutors
The number of pennies give are elements of geometric series with ratio r = 2 and first element 1 penny.
The number of the first n members of this geometric sequence is:
S = 1*(1 - 2^n)/(1 - 2)
S = 2^n - 1
We need to solve
2^n - 1 <= 1000
2^n <= 1001
........
click here to see the solving for n
........
n <= 9.96
It will take 10 days to have over $1000.