Geometric pricesNumber Theory Level 4
Bob will buy a book if and only if:
The price of the book is an integer number of cents, and ranges from \($1.00\) to \($9.99\), inclusive.
The three digits in the price of the book in order form a geometric progression with a positive common ratio.
If Bob goes to a store with a single book of every possible monetary value, how many books will he buy?
Details and assumptions
For example, Bob will buy a book with price \($1.24\), but not one with price \($3.00\).