Question

Geometric sequences​

Answer 1

Explanation:

Hello,

we are talking about geometric sequences it means that

`(a_(n+1))/(a_n)=constant`

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 ...
`\boxed{2}`

from 12 to 24 we multiply by 2 again

and then we got
`\boxed{48}` , 96 , 192, 384, etc ...

For the second example

let s estimate the constant

`((56)/(27))/((28)/(9))=(56*3)/(27*28)=(2)/(3)`

the second term is then

`7*\drac{2}{3} = \boxed{ \ (14)/(3)\ }`

For the third example

let s estimate the constant

24/-12=-2

so the first term is
`\boxed{-3}`

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