Question

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Vă rog dau coroana​

Answer 1

$\it 2^n\cdot3^{n+1}+2\cdot6^{n+2}=2^n\cdot3^n\cdot3+2\cdot6^n\cdot6^2=6^n\cdot3+6^n\cdot72=\\ \\ =6^n(3+72)=6^n\cdot75\in M_{75} \Rightarrow (2^n\cdot3^{n+1}+2\cdot6^{n+2})\ \vdots\ 75$