Răspunsuri

  • Utilizator Brainly
2014-02-21T16:29:02+02:00
 3*5^{2n+1}+ 2^{3n+1}=15* 5^{2n}+2* 2^{3n}=15* 25^{n}+2* 8^{n}=
15* (17+8)^{n}+2* 8^{n} =15*( M_{17}+ 8^{n})+2* 8^{n} =
15* M_{17}+15* 8^{n} +2* 8^{n} =15* M_{17} +17* 8^{n}
deci este divizibil cu 17.
Am folosit formula: (a+b)^{n}= M_{a}  + b^{n} = M_{b}+ a^{n}