My furnace does not light up but we hear a clicking sound and the light indicaticator flashes three times anyone could help...

On most Goodmans, three blinks indicates a pressure switch that failed to close. Lots of things that could cause this. I suggest having a pro in to check things out. It most likely is a simple fix, but will require the knowledge of the system and the correct tools and instruments to trouble shoot it.

A couple things you can check yourself. Make sure the vent and or intake air pipes are not restricted in any way. And make sure the drain system on the unit is not plugged, if the unit is a 90+ eff.