Answer:
The first sequence has a common ratio of 2 while the second sequence has a common ratio of 4.
Step-by-step explanation:
Given the two sequences
[tex]\text{First Sequence:} \dfrac14, \dfrac12,$1, 2\\Second Sequence:\dfrac12$ , 2, 8, 32[/tex]
By observation:
In the first sequence:
[tex]\dfrac14 \times 2 = \dfrac12\\\dfrac12 \times 2 =1\\1 \times 2=2\\[/tex]
In the second sequence
[tex]\dfrac12 \times 4 =2\\ 2 \times 4=8\\8 \times 4=32[/tex]
We can see that both sequences are geometric sequences.
However, the first sequence has a common ratio of 2 while the second sequence has a common ratio of 4.
