My '95 did the same thing. It was the Throttle position sensor.
Possible shifter or linkage problem? ie: not actually going into reverse. Ummmm, you didn't zoom the tires in reverse and blow the gear did you... Hope that helps.
it will drive but when in reverse it wont move
The 2007 Chevrolet Silverado-1500 has rear wheel drive.
The 2008 Chevrolet Silverado-2500HD has rear wheel drive.
The 2008 Chevrolet Silverado-1500 has rear wheel drive.
The 2011 Chevrolet Silverado-3500HD has rear wheel drive.
The 2006 Chevrolet Silverado-1500 has rear wheel drive.
The 2014 Chevrolet Silverado-2500HD has rear wheel drive.
The 2005 Chevrolet Silverado-2500HD has rear wheel drive.
The 2014 Chevrolet Silverado-1500 has rear wheel drive.
The 2009 Chevrolet Silverado-2500HD has rear wheel drive.
The 2003 Chevrolet Silverado-1500 has rear wheel drive.