Question

Calcule o nono termo da Pg (9,27,81,..)

Answer 1

$\mathtt{q = A_2 \div A_1} \\ \mathtt{q = 27 \div 9} \\ \mathtt{q = 3} \\ \\ \mathtt{A_n = A_1 ~.~q^{n-1}} \\ \\ \mathtt{A_9 = 9 ~.~3^{9-1} } \\ \mathtt{A_9 = 9 ~.~3^{8} } \\ \mathtt{A_9 = 9 ~.~6.561} } \\ \mathtt{A_9 = 59.049} } \\ \\ \\ \boxed{\boxed{\mathtt{Resposta: A_9 = 59.049}}}$