nely77748
contestada

if the first two terms of a geometric sequence are a1=216 and a2=72 then which of the following is the third term, a3=?
Explain how you did it please
1)648
2)24
3)360
4)12

Respuesta :

Answer:

(2) 24

Step-by-step explanation:

The common ratio r of a geometric sequence is

[tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{72}{216}[/tex] = [tex]\frac{1}{3}[/tex]

To find the next term in the sequence multiply the previous term by r

[tex]a_{3}[/tex] = 72 × [tex]\frac{1}{3}[/tex] = 24 → (2)