Answer:
We conclude that the sequence 2, -4, -16, -36,... is not a geometric sequence.
Step-by-step explanation:
Given the sequence
2, -4, -16, -36,...
- A geometric sequence has a constant ratio 'r'.
Let us compute the ratio of all the adjacent terms
[tex]\frac{-4}{2}=-2,\:\quad \frac{-16}{-4}=4,\:\quad \frac{-36}{-16}=2.25[/tex]
It is clear that the ratio is not constant.
Thus, the given sequence is not a geometric sequence.
Therefore, we conclude that the sequence 2, -4, -16, -36,... is not a geometric sequence.
