Question

Which describes the difference between the two sequences?

First Sequence: 1/4,1/2,1,2
Second Sequence1/2,2,8,32

Answer 1

The first sequence has a common ratio of 2 while the second sequence has a common ratio of 4.

Explanation:

Given the two sequences

`\text{First Sequence:} \frac14, \frac12,$1, 2\\Second Sequence:\frac12$ , 2, 8, 32`

By observation:

In the first sequence:

`\frac14 * 2 = \frac12\\\frac12 * 2 =1\\1 * 2=2\\`

In the second sequence

`\frac12 * 4 =2\\ 2 * 4=8\\8 * 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.