Answer:
[tex]r=5[/tex]
Step-by-step explanation:
The common ratio of a geometric sequence can be found dividing the current term in the sequence by the previous term in the sequence. In other words, [tex]r=\frac{a_n}{a_{n-1}}[/tex] where:
[tex]r[/tex] is the common ratio of the geometric sequence
[tex]a_n[/tex] is the current term in the sequence
[tex]a_{n-1}[/tex] is the previous term in the sequence
- For [tex]a_n=95[/tex] and [tex]a_{n-1}=475[/tex]
[tex]r=\frac{a_n}{a_{n-1}}[/tex]
[tex]r=\frac{95}{19}[/tex]
[tex]r=5[/tex]
- For [tex]a_n=475[/tex] and [tex]a_{n-1}=95[/tex]
[tex]r=\frac{a_n}{a_{n-1}}[/tex]
[tex]r=\frac{475}{95}[/tex]
[tex]r=5[/tex]
Since the ratio is the same for both pair of number in the geometric sequence, we can conclude that 5 is the common ratio of the sequence.
Answer:
The common ratio of the geometric sequence 19,95,475 is 5.
Step-by-step explanation:
