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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