What was found
25 MINS INTO THE FLIGHT JUST LEVELING OFF AT FL 410, FELT AND HEARD THE LANDING GEAR UNLOCK AND RETRACT TWICE. THE GEAR "UNLOCK" LIGHT REMAINED ILLUMINATED FOR 42 MINS UNTIL DESCENDING THRU FL310 WHEN FELT AND HEARD THE LANDING GEAR UNLOCK AND RETRACT ONCE AND THE LIGHT EXTINGUISHED. TROUBLESHOT NOSE LANDING GEAR BUMP PROBLEM IAW CESSNA MODEL 750 MM 32-30-00. FOUND EMERGENCY GEAR EXTEND CABLE TO BE TIGHT WITH NO SLACK AT ALL. ADJUSTED UPLOCK RELEASE CABLE IAW CMM MODE 750 32-30-06.