2006 chevy suburban making a whining noise in reverse only, makes no noise when in neutral rolling backwards

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if manual ( not specified) reverse gear is a spur cut gear and will be noisy when engaged
gets worse if the gear has been engaged inadvertently or slashed by mistake as small pieces of the teeth get chipped off and the result is a noisy reverse operation
nothing to worry about til it starts to clunk as you are going in reverse
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