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Given that \( n \) arithmetic means are inserted between two sets of numbers \( a, 2 b \), and \( 2 a, b \), where \( a, b \in R \). Suppose further that \( m^{\text {th }} \) mean between these two sets of numbers is same, then the ratio \( a: b \) equals
(A) \( n-m+1: m \)
(B) \( m: n-m+1 \)
(C) \( n-m+1: n \)
(D) \( n: n-m+1 \)
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