Question

Which describes the difference between the two sequences?

Answer 1

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

$\text{First Sequence:} \dfrac14, \dfrac12, 1, 2\\Second Sequence:\dfrac12 , 2, 8, 32$

By observation:

In the first sequence:

$\dfrac14 \times 2 = \dfrac12\\\dfrac12 \times 2 =1\\1 \times 2=2$

In the second sequence

$\dfrac12 \times 4 =2\\ 2 \times 4=8\\8 \times 4=32$

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.