Question

NU VA SPERIATI FATE DE EXERCITIUSI DATI CLICK. Fie E = $2^{n+1}$·$3^{n}$+$6^{n+2}$ - 5·$2^{n}$·$3^{n+1}$ . Demonstrati ca E divide pe 11

Answer 1

$2^{n+1}$=$2^{n}$·2
$6^{n+2}$=$6^{n}$·36
$3^{n+1}$=$3^{n}$·3


 E=$2^{n}$·2·$3^{n}$+$6^{n}$·36-5·$2^{n}$·$3^{n}$·3

E=$6^{n}$·2+$6^{n}$·36-$6^{n}$·15
E=$6^{n}$·23


stai sa ma mai gandesc putin si iti dau si continuarea