Sorry if this is in the wrong section, this is apparently University level mathematics (I'm in HS), so I don't really know what topic it belongs to. Anyways, the problem is an attachment (I have no idea how to write that in LaTeX format).

I tried proving it by induction, but I've only ever done that with summation, sigma, and don't know if it even works for Pi ? If someone could show me the proof for this problem, or tell me what way to go, I'd be forever grateful.

Also,