Math problems: 2 to the power of x, exponential equations

Hey, do you hate the high rate of interest at banks? Do you want to borrow money from me? I have a whole different system of rate! Start from 2 cents a day!
Here is my system:
If you borrow $100.00 from me, the first day the interest is 2^1 cents, that is 2 cents. The second day is 2^2 cents, that is 4 cents. The third day is2^3, 8 cents....do you know how many interest you have to pay after 5 days? 10 days?
Let’s calculate together!
Ans: 2^1+2^2+...+2^5=2+4+8+16+32=62 cents
For ten days:
62+2^6+2^7+...+2^10=62+64+128+256+512+1028=2050 cents that are $20.50
What a treat!!
Check out how much you have to pay me in a month that is going to be a nightmare for you!! So, remember nothing will come for free and remember the beauty of mathematics!!