270,648 views
10 votes
10 votes
Which rule is a recursive rule for the sequence 1,-6,36, -216

Which rule is a recursive rule for the sequence 1,-6,36, -216-example-1
User Lazarev
by
3.0k points

2 Answers

16 votes
16 votes

Answer: 1*6°=6

1*(-6)^1=-6

1*(-6)^2=36

1*(-6)^3=-216

User Laokoon
by
2.8k points
10 votes
10 votes

Answer:

3rd option

Explanation:

There is a common ratio between consecutive terms , that is

r = - 6 ÷ 1 = 36 ÷ - 6 = - 216 ÷ 36 = - 6

To obtain a term in the sequence multiply the previous term by - 6

Then the recursive rule is


a_(n) = - 6 .
a_(n-1)

User Aldin
by
2.7k points