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

*Liber Abaci*, Leonardo of Pisa,1202

Click here to reveal the answer

The answer is: 1572 days (assuming the lion can leave the well before it slips back down again; if not, it would take 1575 days)