(a) Simplify $$\dfrac{\dbinom{n}{k}}{\dbinom{n}{k - 1}}.$$ (b) For some positive integer $n,$ the expansion of $(1 + x)^n$ has three consecu

Hey, I don't want to be rude or anything Guest, but you can't just go around assuming something Is an AoPS problem by just looking at it. 

At least prove that it is an AoPS problem before going around telling people not to post stuff. 

Also please don't say someone is cheating without knowing the full story!