Respuesta :

Answer:  Option 'B' is correct.

Explanation:

Since we have given that

[tex]625,125,25,5,1......[/tex]

Since we know that it is a geometric sequence.

Here, a=625

and

Common ratio is given by

[tex]\frac{a_{n+1}}{a_n}[/tex]

So, according to this, we have,

[tex]\frac{125}{625}=\frac{25}{125}=\frac{5}{125}=\frac{1}{5}[/tex]

So, Option 'B' is correct.

The common ratio of the geometric series is; 25/125

Common ratio of a geometric series

The common ratio of a geometric series can be evaluated by determining the quotient of (n+1)th term and it's nth term.

On this note; the common ratio of the geometric series given is;

  • Ratio = 125/625 = 25/125 = 5/25 = 1/5

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