Problem Solving (PS) | Re: The equation n < 1/(-2)^(-n) < 135.43 is true for how many unique in

The expression n < 1/(-2)^(-n) < 135.43 is equivalent to n < \((-2)^{n}\) < 135.43

For n=2: 2 < 4 < 135.43 OK
For n=3: 2 < -27 < 135.43 NOT OK
For n=5: 2 < -32 < 135.43 NOT OK
For n=7: 2 < -128 < 135.43 NOT OK

Since 2 is the only even prime number, we didn't even have to test the other cases (n=3,4,5, etc.)

Correct answer is D.