Question

calcule o décimo termo da PG {7, 14, 28...}
Fórmula: An = Ak • q n-k​

Answer 1

$\Large\boxed{\begin{array}{l}\underline{\rm Termo~geral~da~ PG~em~func_{\!\!,}\tilde ao}\\\underline{\rm de~um~termo~k~qualquer}\\\huge\boxed{\boxed{\boxed{\boxed{\sf a_n=a_k\cdot q^{n-k}}}}}\end{array}}$

$\Large\boxed{\begin{array}{l}\tt dados\begin{cases}\sf a_3=28\\\sf q=\dfrac{14}{7}=2\\\sf a_{10}=?\end{cases}\\\underline{\rm soluc_{\!\!,}\tilde ao\!\!:}\\\sf a_{10}=a_3\cdot 2^7\\\sf a_{10}=28\cdot2^7\\\sf a_{10}=28\cdot128\\\sf a_{10}=3584\end{array}}$