Answer:
.
Step-by-step explanation:
We are given a geometric sequence { -16, 4, -1, .... }
i.e. , , , ...
We will first find the common ratio 'r'.
Now,
i.e.
i.e.
i.e.
Similarly, i.e.
i.e.
So, we get that the common ratio is .
Now, the recursive formula for the geometric sequence is given by,
i.e.
i.e. .
Hence, the recursive formula for this sequence is .