Answer:
Step-by-step explanation:
Hello,
we are talking about geometric sequences it means that
[tex]\dfrac{a_{n+1}}{a_n}=constant[/tex]
once we know this constant it is pretty straight forward to answer the question
Part A
For the first example
to go from 6 to 12 we multiply by ... [tex]\boxed{2}[/tex]
from 12 to 24 we multiply by 2 again
and then we got [tex]\boxed{48}[/tex] , 96 , 192, 384, etc ...
For the second example
let s estimate the constant
[tex]\dfrac{\dfrac{56}{27}}{\dfrac{28}{9}}=\dfrac{56*3}{27*28}=\dfrac{2}{3}[/tex]
the second term is then
[tex]7*\drac{2}{3} = \boxed{ \ \dfrac{14}{3}\ }[/tex]
For the third example
let s estimate the constant
24/-12=-2
so the first term is [tex]\boxed{-3}[/tex]
as -3 * -2 = 6
Part B
1, 1*3=3 ,3*3=9, 27, 81, 243, 729, ...
Part C
-13, -13*-4=52, -208, 832, -3328, etc
Hope this helps
