The library uses a numbering system with 13 digits to catalogue all the books in the collection. Each digit can be 0-9. How many books can be in the collection without running out of ID numbers? *

What is the sum of the geometric series in which a1 = 7, r = 3, and an = 1,701? hint: cap s sub n equals start fraction a sub one left parenthesis one minus r to the power of n end power right parenthesis over one minus r end fraction comma r ≠ 1, where a1 is the first term and r is the common ratio