Step-by-step explanation:
Find the rule:
2, -6, 18, ...
To get to -6, multiply by -3.
To get to 18, multiply by -3.
The rule is to multiply by -3.
Find the 7th term:
Multiply 18 by -3.
[tex]-18 \times 3 = -54[/tex]
-54 is the 4th term.
Multiply -54 by-3.
[tex]-54 \times -3 = 162[/tex]
162 is the 5th term.
Multiply 162 by -3.
[tex]162 \times -3 =-486[/tex]
-486 is the 6th term.
Multiply -486 by -3.
[tex]-486 \times -3 = 1458[/tex]
1458 is the 7th term.
