Question

achar o primeiro e o décimo sétimo termo da p.g (1,3,9,27)

Answer 1

$\large\textsf{Teorema~do~termo~geral~de~uma~P.G:}\\\\\\\fbox{ \mathsf{a_n=a_1\cdot q^{n-1}} }\\\\\\\textsf{Descobrindo a raz\~ao:}\\\\\\\mathsf{a_1\cdot q=a_2}\\\\\\\mathsf{1\cdot q =3}\\\\\\\mathsf{q=3}\\\\\\\textsf{Descobrindo o d\'ecimo s\'etimo termo da sequ\^encia:}\\\\\\\mathsf{a_{17}=1\cdot 3^{17-1}}\\\\\\\mathsf{a_{17}=3^{16}}\\\\\\\mathsf{a_{17}=43.046.721}~~~~~~\Large\checkmark$


$\large\textsf{Portanto, o primeiro termo \'e igual a \underline{1} e o d\'ecimo s\'etimo \'e}\\\textsf{o que acabamos de descobrir: \underline{43.046.721}.}$