What is the bright thing in the sky west of the moon. It rises at night?

Question

And it moves higher in the sky. I'm on the east coast and it's in the southeastern sky?It looks blurry and grey through the telescope? Is it Jupiter?

Answer 1

If you mean right now, then yes, that is Jupiter.  You should be able to see (some of) the four Galilean moons around it and possibly the atmospheric bands of the planet (if you have a decent scope).

Answer 2

It is Jupiter - it gets bright like it is right now about every 13 months as Earth catches up to Jupiter in the two orbits.

It will be bright for another month or so.