Question 96045
This is a case of a geometrical progression and can be repesented as...
{{{2^0+2^1+2^2+2^3+2^4}}}+...+{{{2^51+2^52}}}
The sum of this progression is {{{2^52 - 1 = 4503599627370495}}}cents
So, at the end of the year (52 weeks) you would have a total of:
$45,035,996,273,704.95

On the 52nd week, you would get:
{{{2^((52-1)) =2251799813685248}}}cents, which amounts to $22,517,998,136,852.48