The rule an=−2⋅3 n-1 is the explicit rule for a geometric sequence. Which equation represents the recursive rule for this sequence?
an=3⋅an+1 , a1=−2
an=−2⋅an−1 , a1=−2
an=−2⋅3⋅ an−1 , a1=−2
an=3⋅an-1 , a1=−2
Let's list the first few terms
- 2, - 6, - 18, -54
Note that each succesive term is just 3 times the previous.....so....
The recursive rule is
an = 3* an-1, a1 = -2