A.

Since, n is non-negative, it can be zero or positive. Also, 2n = 3x + 1 for x = 0,1,2,3,.....

Hence, n cannot be 0.

Possible values of 2n = 1,4,7,10,13,16,19,22.....

But, since n is integer hence possible values of n are 2,5,8,11,.....

Hence, II and III are out and only I is true.

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