# House Of Cards

Algebra Level 2

Consecutive​ towers are built, as shown in the figure above.

The $$1^\text{st}$$ tower has one floor made of two cards.
The $$2^\text{nd}$$ tower has two floors made of seven cards.
The $$3^\text{rd}$$ tower has three floors made of fifteen cards, and so on.

How many cards will the $$1000^\text{th}$$ tower have?

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