House Of Cards

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

The 1st1^\text{st} tower has one floor made of two cards.
The 2nd2^\text{nd} tower has two floors made of seven cards.
The 3rd3^\text{rd} tower has three floors made of fifteen cards, and so on.

How many cards will the 1000th1000^\text{th} tower have?


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