Question

Ex 3 va rog mult am nevoie urgent

Answer 1

Explicație pas cu pas:

${2}^{n + 1} \cdot {9}^{n} + {6}^{n} \cdot {3}^{n + 1} + 37 = 2 \cdot {2}^{n} \cdot {9}^{n} + {6}^{n} \cdot 3 \cdot {3}^{n} + 37 = 2 \cdot {(2 \cdot 9)}^{n} + 3 \cdot {(6 \cdot 3)}^{n} + 37 = 2 \cdot {18}^{n} + 3 \cdot {18}^{n} + 37 = 5 \cdot {18}^{n} + 37$

=>

$(5 \cdot {18}^{n} + 37) : 5 = {18}^{n} \ \ rest \ \ 37$