*Challenge question #22 (01/08/2016)*

**Junior Question**

While three watchmen were guarding an orchard, a thief slipped in and stole some apples. On his way out, he met the three watchmen, one after the other. To each in turn, he gave half of the apples he then had, and two more. In this way he managed to escape with one apple.

How many apples did the thief steal originally?

**Senior Question**

What is the value of $\ \ \sqrt{6+\sqrt{6+\sqrt{6+\sqrt{6+....}}}}$ ?