Answer
Each term is $2$ less than the previous term, meaning subtract $2$ to get to the next term.
The next $3$ terms are: $-2, -4, -6$
Work Step by Step
Each term is $2$ less than the previous term, meaning subtract $2$ to get to the next term.
We are given the first $6$ terms of this series and are asked for the next three terms, $a_{7}$, $a_{8}$, and $a_{9}$.
To get the $7th$ term, subtract $2$ from the $6th$ term:
$a_{7} = a_{6} - 2$
Plug in the values as given:
$a_{7} = 0 - 2$
Subtract:
$a_{7} = -2$
To get the $8th$ term, subtract $2$ from the $7th$ term:
$a_{8} = a_{7} - 2$
Plug in the values as given:
$a_{8} = -2 - 2$
Subtract:
$a_{8} = -4$
To get the $9th$ term, subtract $2$ from the $8th$ term:
$a_{9} = a_{8} - 2$
Plug in the values as given:
$a_{9} = -4 - 2$
Subtract:
$a_{9} = -6$
