Answer:
2/3
Step-by-step explanation:
Given : A geometric sequence : 18, 12, 8, 16/3,…
Solution :
Each term is found by multiplying the previous term by a constant in a Geometric Sequence .
In a Geometric Sequence common ratio is denoted by r
[tex]r = \frac{a_{n} }{a_{n-1} }[/tex]
for n = 2
[tex]r = \frac{a_{2} }{a_{1} }[/tex]
⇒[tex]r = \frac{12 }{18 }[/tex]
⇒[tex]r = \frac{2 }{3 }[/tex]
for n = 3
[tex]r = \frac{a_{3} }{a_{2} }[/tex]
⇒[tex]r = \frac{8 }{12 }[/tex]
⇒[tex]r = \frac{4 }{6 }[/tex]
⇒[tex]r = \frac{2}{3 }[/tex]
Thus the common ratio 'r' = 2/3
