Explicație pas cu pas:
[tex]{2}^{n + 1} \cdot {9}^{n} + {6}^{n} \cdot {3}^{n + 1} + 37 = 2 \cdot {2}^{n} \cdot {9}^{n} + {6}^{n} \cdot 3 \cdot {3}^{n} + 37 = 2 \cdot {(2 \cdot 9)}^{n} + 3 \cdot {(6 \cdot 3)}^{n} + 37 = 2 \cdot {18}^{n} + 3 \cdot {18}^{n} + 37 = 5 \cdot {18}^{n} + 37[/tex]
=>
[tex](5 \cdot {18}^{n} + 37) : 5 = {18}^{n} \ \ rest \ \ 37[/tex]
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Explicație pas cu pas:
[tex]{2}^{n + 1} \cdot {9}^{n} + {6}^{n} \cdot {3}^{n + 1} + 37 = 2 \cdot {2}^{n} \cdot {9}^{n} + {6}^{n} \cdot 3 \cdot {3}^{n} + 37 = 2 \cdot {(2 \cdot 9)}^{n} + 3 \cdot {(6 \cdot 3)}^{n} + 37 = 2 \cdot {18}^{n} + 3 \cdot {18}^{n} + 37 = 5 \cdot {18}^{n} + 37[/tex]
=>
[tex](5 \cdot {18}^{n} + 37) : 5 = {18}^{n} \ \ rest \ \ 37[/tex]