Question

Calcule o trigésimo nono termo da P.G.(3,6,12...)​

Answer 1

$\{a_1,a_2,a_3,\dots\}\Longrightarrow\{3,6,12,\dots\}$

$\boxed{a_n=a_kq^{n-k}}\Longrightarrow a_2=a_1q\Longrightarrow q=\dfrac{6}{3}\ \therefore\ \boxed{q=2}$

$a_{39}=a_1q^{38}\Longrightarrow a_{39}=3(2)^{38}\ \therefore\ \boxed{a_{39}=824633720832}$