Question

Escreva a P.G de cinco termos, na qual a1=180 e q=1/3

Answer 1

$Se~a _{1}=180~~e~~q=1/3 \\\\\begin{cases}a _{1}=180\\ a _{2}=a _{1}*q~\to~a _{2}=180* \frac{1}{3}~\to~a _{2}=60\\ a _{3}=a _{1}*q ^{2}~\to~a _{3}=180* \frac{1}{3} ^{2}~\to~a_{3}=20\\ a _{4}=a _{1}*q^{3}~\to~a _{4}=180* \frac{1}{3} ^{3}~\to~a _{4}= \frac{20}{3}\\ a _{5}=a _{1}*q ^{4}~\to~a _{5}=180* \frac{1}{3} ^{4}~\to~a _{5}= \frac{20}{9}\end{cases}\\\\\\\\ \boxed{P.G.=(180,60,20, \frac{20}{3}, \frac{20}{9})}$


Espero ter ajudado e tenha ótimos estudos ;D