Madison is organizing her bookshelf. She places her favorite book on the first shelf. She puts 2 books on the second shelf and 4 books on the third shelf. She continues by putting 8 books on the fourth shelf and 16 books on the fifth shelf. She has one more shelf left. Answer the following:
If this pattern continues, how many books will be on the last shelf? In a complete sentence, explain how you found your answer.