Question

repede va rogggggg!!!​

Answer 1

a) 11

b) 91

c) 3, să zicem că n = 0 => 10⁰+2 = 1+2 = 3 divizor al lui 3

d) 5 ⇒2⁸⁰+2⁸² = 2⁸⁰(1+2²) = 2⁸⁰x5 este divizor al lui 5

Answer 2

$\it 91\ \vdots\ 91\ \ (evident)\\ \\ 91:7=13 \Rightarrow 91\ \vdots\ 7\\ \\ \\ 10^n+2=1\underbrace{\it000\ . ..\ 0}_{n\ zerouri}+2=1\underbrace{\it000\ ...\ 0}_{(n-1)zerouri}2\ \vdots\ 3,\ pentru\ c\breve a\ 1+2=3\ \vdots\ 3\\ \\ \\ 2^{80}+2^{82}=2^{80}(1+2^2)=2^{80}\cdot5\in M_5 \Rightarrow (2^{80}+2^{82})\ \vdots\ 5$