Respuesta :

0.1 is the common ratio, you can see them all being multiplied by 0.1, hope this helps!

Answer:

The common ratio of the sequence. 0.1, 0.01, 0.001, ...... is 0.1 .

Step-by-step explanation:

The geometric series in the form

[tex]a, ar, ar^{2},....[/tex]

Where a is the first term r is the common ratio .

[tex]r = \frac{ar}{a}[/tex]

As given the sequence in the question

0.1, 0.01, 0.001, .......

a = 0.1

ar = 0.01

[tex]r = \frac{0.01}{0.1}[/tex]

r = 0.1

Therefore the common ratio of the sequence. 0.1, 0.01, 0.001, ...... is 0.1 .

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