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A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.
The given sequnce is not geometric.
A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant.
The common ratio of the sequnce is given by;
[tex]\rm Common \ ratio =\dfrac{a_2}{a_1}=\dfrac{-4}{2}=-2\\\\Common \ ratio =\dfrac{a_3}{a_2}=\dfrac{-16}{-4}=4[/tex]
The common ratio between terms is not same.
Hence, the given sequnce is not geometric.
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