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
Read more on common ratio;
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