\(3n-2⋮2n-1\)
\(\Leftrightarrow2.\left(3n-2\right)⋮2n-1\)
\(\Leftrightarrow3.\left(2n-1\right)-1⋮2n-1\)
\(\Rightarrow1⋮2n-1\)
\(\Rightarrow2n-1\in\left\{1,-1\right\}\)
\(\Rightarrow n\in\left\{1,0\right\}\)
3n−2⋮2n−13n−2⋮2n−1
⇔2.(3n−2)⋮2n−1⇔2.(3n−2)⋮2n−1
⇔3.(2n−1)−1⋮2n−1⇔3.(2n−1)−1⋮2n−1
⇒1⋮2n−1⇒1⋮2n−1
⇒2n−1∈{1,−1}⇒2n−1∈{1,−1}
⇒n∈{1,0}
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