Question

Aratati ca numărul:(imaginea de sus) se divide prin 35​

Answer 1

Răspuns:

2^n+1=2^n×2

2^n+3=2^n×2^3

3^n+1=3n×3

3^n+2=3^n×3^2

A=2^n×2×3^n+2^n×2^3×3^n×3+2^n×3^n×3^2

A=2^n×3^n(2+2^3×3+3^2)

A=2^n×3^n×35=>35|A