Respuesta :

The common ratio is the constant factor between consecutive terms of a geometric sequence.

It can be obtained using the formula below

[tex]r=\frac{T_2}{T_1}\text{ =}\frac{T_3}{T_2}[/tex]

Where r = common ration, T1 is the first term, T2 = second term and T3 = third term

From the sequence given,

T1 = 0.1

T2 = 0.01

T3= 0.001

Substituting the value in the above equation

[tex]r=\frac{0.01}{0.1}=\frac{0.001}{0.01}=\text{ 0.1}[/tex]

Hence the common ratio, r = 0.1

option C is correct