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Fibonacci (1202)

There is a lion in a well whose depth is 50 palms.
He climbs 1/7 of a palm daily, and slips back 1/9 of a palm.
In how many days will he get out of the well?


Source: R. McGinty & J. Van Beynen's "Story Problems--Let's Make Them Just That," SSAM (April 1982)