Reading a Book

Algebra Level 4

Im reading a book at total of 2100 pages. I can read 10 pages per day. However, each day I have a 10% chance to read in to it and double the page i read(which means that if i read in to it on a day all other days would be 20pages). In addition to it, if I read in to it three days in a row the fourth day I would be exhausted and read nothing, and starts at 10 pages again on the fifth day. How long at least will it take me to finish?

Note: Include partial days. For example, if he reads at a rate of 20 pages a day, and has 10 pages left to read, then it would take 0.5 days.

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