Till infinity, can't be determined

Logic Level 3

If we write down all positive multiples of 6, we get the sequence

6,12,18,24,30, 6, 12, 18, 24, 30, \ldots

What is the 1000th digit that is written down?

As an explicit example, the 5th digit that is written is 8, which came from 18.

This is not original.

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