Question

Qual é o décimo sexto termo da PG (1, 4, 16,...)?​

Answer 1

$\boxed{\begin{array}{l}\sf (1,4,16,...)\\\tt dados\begin{cases}\sf a_1=1\\\sf q=\dfrac{4}{1}=4\\\sf a_{16}=?\end{cases}\\\underline{\rm soluc_{\!\!,}\tilde ao:}\\\sf a_{16}=a_1\cdot q^{15}\\\sf a_{16}=1\cdot 4^{15}\\\sf a_{16}=(2^2)^{15}\\\sf a_{16}=2^{30}=(2^{10})^3=1024^3=1073741824\end{array}}$