What would be the resonant frequency for a series RLC circuit with the following components a 1 kilo ohm resistor a 900 micro hertz inductor and a 0.014 microfarad capacitor?

The resonant frequency is set by the L and the C: 900 microhenrys and 0.014 microfarad would resonate at a frequency given by:

F = 1/ [2 pi sqrt(LC)]

If the components are in 'micros' the answer is in Megahertz.

In this case the resonant frequency in MHz is:

F = 1/ [2 pi sqrt(900 x 0.014)] or 0.0448 MHz, 44.8 kHz.

The reactance of the inductor and the capacitor is 253 ohms, so adding a 1000 ohm resistor in parallel would give a tuned circuit with a Q of 1000 / 253 or 3.9.