Hollywood movies are 24 frames/sec.
Your base HDTV runs at 60 Hz, capable to of displaying content that generates 60 frames/sec, such as video games.
Recent HDTV sets are capable of 120 Hz (and higher) aka 120 frames/sec. In addition, these same TVs might have the option of something called "motion interpolation."
Here's how they work together:
Scenario #1
24fps divides evenly into 120fps by 5X. So if you have One Second's worth of 24fps footage, you can take each stand-alone frame and duplicate them so there's 5 of each, to fill up 120 frames within that One Second. Visually, it's practically no different than movie properly playing in progressive scan on a 60 Hz HDTV, because the images on the screen have NOT changed.
Scenario #2
120Hz mode is combined with Motion Interpolation, so it starts with Scenario #1's frame duplication and goes a step further by fudging/generating artificial frames in-between the real frames. Like, take 2 pictures in a photo editor and simply blend them so the result is one picture "ghosting" into the next -- take that operation and apply to an entire sequence of frames, which now provides transitional frames in between the original frames. The visual result is artificial smoothness and a perceivably higher framerate.