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Is this sequence geometric? if so, identify the common ratio. 2, -4, -16, 36,

Sagot :

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.

What is the geometric sequnce?

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.

Learn more about geometric sequmce here;

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