Respuesta :

Answer:

6

Step-by-step explanation:

We can find the common difference by subtracting one number in the sequence from the one ahead of it.

27-21=6

21-15=6

15-9=6

9-3=6

The differences between each number is 6.

Because the difference is the same between each number in the sequence, that makes 6 the common difference.

[tex]\fbox{Hii\:student!}[/tex]

__________________________________________________________

[tex]\multimap\parallel\boldsymbol{Answer.}\parallel\gets[/tex]

[tex]\textsl{the common difference is 6!}[/tex]

__________________________________________________________

[tex]\multimap\parallel\boldsymbol{Explanation.}\parallel\gets[/tex]

[tex]\textsl{here's how we find the common difference in the sequence:}[/tex]

[tex]\sf 27-21=6 \\ 21-15=6 \\ 15-9=6 \\ 9-3=6 \\the\;result\;is\;the\;common\;difference}[/tex]

[tex]\maltese\boldsymbol{\therefore,\:6\:is\;the\;common\;dif\!ference}[/tex]

Hope that this helped! Best wishes.

[tex]\textsl{Reach far. Aim high. Dream big.}[/tex]

[tex]\boldsymbol{-Greetings!-}[/tex]

________________________________________________________