Question

determine o 10 termo da P.G (1,4,16,..)

Answer 1

$\mathtt{q = A_2 \div A_1} \\ \mathtt{q = 4 \div 1 } \\ \mathtt{q = 4}$

$\mathtt{A_n = A_1~.~q^{n-1}} \\ \\ \mathtt{A_{10}=1~.~4^{10-1}} \\ \\ \mathtt{A_{10} = 1~.~4^{9}} \\ \\ \mathtt{A_{10}=1~.~262.144} \\ \\ \mathtt{A_{10}=262.144} \\ \\ \\ \boxed{\boxed{\mathtt{Resposta: A_{10}=262.144}}}$