Expense List

Chef has made a list for his monthly expenses. The list has $N$ expenses with index $1$ to $N$. The money spent on each expense depends upon the monthly income of Chef. - Chef spends $50\%$ of his total income on the expense with index $1$. - The money spent on the $i^{th}$ expense $(i>1)$ is equal to $50\%$ of the amount **remaining**, after paying for all expenses with indices **less than** $i$