Question

Sirul ( $a_{n}$ ) este definit prin formula termenului general $a_{n}$=$2^{n}$ . Este adevarata oare relatia $a_{n+1} + a_{n+2} = 6 a_{n} ?$

Answer 1

a_n+2 =2^ n+2
a_n+1=2^ n+1
le inlocuim in realatie  , dam factor 2^n
2^n · ( 2 ² +2¹ ) = 6 · 2^n  adevarat