Question

Is 6.7825.. reapeating or terminating

Answer 1

You wrote "6.7825.."

Typically, a non-terminating decimal has three dots, so I'm not sure what is intended by only two dots.

As for repeating, a repeating pattern should be established before the ... if that is intended to be repeating.

So, 6.782578257825... would be a repeating decimal, while

6.7825... does not indicate any repeating pattern.