Respuesta :
The correct answer is A, because applying the formula [tex] a_{n}=5 a_{n-1}+2 [/tex], we find that
[tex] a_{2}=5 a_{1}+2=5*3+2=17 [/tex]
[tex] a_{3}=5 a_{2}+2=5*17+2=87 [/tex]
[tex] a_{4}=5 a_{3}+2=5*87+2=437 [/tex]
[tex] a_{5}=5 a_{4}+2=5*437+2=2187 [/tex]
[tex] a_{2}=5 a_{1}+2=5*3+2=17 [/tex]
[tex] a_{3}=5 a_{2}+2=5*17+2=87 [/tex]
[tex] a_{4}=5 a_{3}+2=5*87+2=437 [/tex]
[tex] a_{5}=5 a_{4}+2=5*437+2=2187 [/tex]