1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, ...

Algebra Level 2

1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,\large 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, \ldots

What is the 1000th term in the sequence above?

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