Difference between forcing frequency and natural frequency

[Freakminer64]

If you force a one-dimensional discrete lattice to vibrate at the mass at the origin sinusoidally with forcing frequency w0, what will the frequency of vibrations be for the lattice points, NOT at the origin ? Will it be the natural frequency ? Or will it be close to the forcing frequency near the origin, but as you move further away from the mass that you are forcing the masses will vibrate at their natural frequency ?

What difference would it make if the forcing freq. was in the pass-band or stop-band or at a standing wave frequency ?
Thanks in advance

 

[Freakminer64]

So no one can help ?