4.67 would be a rounded answer. Really it's 4.666666666666666666 (the 6 go on forever) but we can't write that out.
Answer:
The required recursive formula is:

Step-by-step explanation:
We are given a geometric sequence as:
6,-18,54,-162,.....
Clearly after looking at different terms of the sequence we could observe that the sequence is an geometric progression (G.P.) with common ratio= -3 denoted by r.
Let
represents the nth term of the sequence.
This means that:

As the common ratio is -3.
so,

Hence, the required recursive formula for the geometric sequence is:

Answer:
683
Step-by-step explanation: