If \( { }^{n-1} \mathrm{C}_{r}:{ }^{n} \mathrm{C}_{r}:{ }^{n+1} \mathrm{C}_{r}=6: 9: 13 \), find...

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If \( { }^{n-1} \mathrm{C}_{r}:{ }^{n} \mathrm{C}_{r}:{ }^{n+1} \mathrm{C}_{r}=6: 9: 13 \), find \( n \) and \( r \).
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