Question

Library officials in a library find that too many people aren't returning their books on time. Thus, they made a new rule in which their patrons pay 1 cent for the first day the book is overdue, 2 cents for the second day, 4 cents for the third day and so on. After 15 days there are no more charges. What is the total late fee for one book after 15 days?

Answer 1

None

Explanation:

it says that there are no late fees after the 15th day

Answer 2

32767

Explanation:

the geometric sequence 2^{n-1}

and you have to find the sum of the first 15 term of the sequence