Riddles, brain puzzles and mathematical problems

[BAndrew]

Spoiler below!

If he pays at night, he only has to pay for 6 nights I think:
Sunday/Monday/Tuesday/Wednesday/Thursday/Friday
As long as he leaves some time on Saturday, he's fine

No. I meant he has to stay 7 full days (nights included) in the hotel , sorry for not making that clear. The problem is how is he going to pay? For example, if he cuts the first link of the chain then he has two parts of the chain. One part has 1 link and the other part has 6 links. The first night he can pay with the first link. But afterwards he can't pay for the other nights because he can't pay in advance and he can't make another cut.