I have heard $\Bbb Q_p$ is sequentially compact, in other word, every sequence of $\Bbb Q_p$ must have convergent subsequence. But I think I cannot take convergent subsequence from infinite sequence $p,1/p,1/p^2,1/p^3, ...$.
Where am I missing ? Could you tell me the convergent subsequence of $p,1/p,1/p^2,1/p^3, ...$?