Might 3.46% American Native DNA come from 10 generations back?

If DNA shows 3.46% American Native, then how far back in generations did it come from?

I am told it was from a 10 generations back.

• Reporting admixture to two decimal places makes absolutely no sense whatsoever: they're estimated probabilities, for heaven's sake. Which DNA company did this? (As a general rule of thumb across all testing companies, everything below about 5% is probably just noise.) Jan 22, 2020 at 18:09

You get approximately 1/2 (50%) of your DNA from each parent. They get 50% of their DNA from each of their parents, and so on, which leads to this list:

• 1 generation back: 50%
• 2 generations back: 25%
• 3 generations back: 12.5%
• 4 generations back: 6.25%
• 5 generations back: 3.125%
• 6 generations back: 1.5625%

... and so on.

So, your 3.46% measurement suggests an NA ancestor more recently than 10 generations.

This assumes that we are talking about only one ancestor, and that that ancestor was 100% Native American. (both of which are not really that likely, but a good starting point)