If \(n\) is a positive integer, is the value of \(b - a\) at least twice the value of \(3^n - 2^n?\)

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If \(n\) is a positive integer, is the value of \(b - a\) at least twice the value of \(3^n - 2^n?\)

(1) \(a= 2^{n+1}\) and \(b= 3^{n+1}\)
(2) \(n = 3\)

Answer: A

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Source: — Data Sufficiency |