Respuesta :

The given sequence is geometric, with common ratio = 0.4.

What is a geometric progression?

  • A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

Now, Given: 10, 4, 1.6, 0.64, ....

Here, [tex]\frac{4}{10}=\frac{1.6}{4}=\frac{0.64}{1.6}=0.4[/tex]

That is, the given sequence follows the only necessary condition for a sequence to be geometric.

Hence, The given sequence is geometric, with common ratio = 0.4.

To learn more about geometric progression, refer to the link: https://brainly.com/question/15978376

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