Question

Calcule a razão de cada uma das seguintes progressões geométricas:
a)(1,2,4,8,16,...)
b)(-2,8,-32,128,...)
c)(5,-5,5,-5,5,...)
d)(80,40,20,10,5,...)

Answer 1

a)(1,2,4,8,16,...)     q = 2
b)(-2,8,-32,128,...)   q = -4
c)(5,-5,5,-5,5,...)       q = -1
d)(80,40,20,10,5,...)    q = 0,5

Answer 2

$q = a_{2}/a_{1}=a_{3}/a_{2}=...=a_{n}/a_{n-1}$
________________________

a)

$a_{1}=1\\a_{2}=2\\\\q=a_{2}/a_{1}=2/1=2$

b)

$q=a_{2}/a_{1}=8/(-2)=-4$

c)

$q=(-5)/5=-1$

d)

$q=40/80=1/2$