Question

Determine a razão das seguintes P.G.
a) ( 3, 9, 27, 81)
b) ( 2, -6, 18, -54,...)
c) ( 20, 10, 5, 5/2,...)
d) ( 3,3,3,3,3,...)
e) ( -4, -20, -100,...)
f) ( -1, 5, - 25, 125, - 625)

Answer 1

Explicação passo-a-passo:

$q=\dfrac{a_2}{a_1}$

a) $q=\dfrac{9}{3}~\longrightarrow~q=3$

b) $q=\dfrac{-6}{2}~\longrightarrow~q=-3$

c) $q=\dfrac{10}{20}~\longrightarrow~q=\dfrac{1}{2}$

d) $q=\dfrac{3}{3}~\longrightarrow~q=1$

e) $q=\dfrac{-20}{-4}~\longrightarrow~q=5$

f) $q=\dfrac{5}{-1}~\longrightarrow~q=-5$