Question

Demonstrati ca nr. 2^n+3×2^n+1+5×2^n+2este divizibil cu 27

Answer 1

2^n+3×2^n+1+5×2^n+2=
=2^n×(1+3×2^1+5×2^2)=
=2^n×(1+6+20)=
=2^n ×27  deci este divizibil cu 27