I connected a NetGear Router to a Verizon DSL Modem on my home computer so that I could get wireless internet connection for my laptop which is Windows based. After installing I see that it shows up on my laptop and I was able to assign it a name and entered the router pin it requested. However, although it states it is connected it is not and a triangle with a yellow exclamation point keeps showing up. Please help. Thank you

This doesn't seem to be a Windows issue. There's a bit more to setting up a router with DSL than just plugging it in, you have to set up the service itself on the router's WAN configuration page. This is something you need to read the router's manual for, and contact Verizon support to answer your questions.