Question

Identify the following sequence geometric, arithmetic, or neither.1, 2, 4, 8, 16

Answer 1

Answer:

$Geometric$

Explanation:

Here, we want to get the sequence type

In an arithmetic sequence, the difference between terms is the same

For a geometric sequence, the division of a succeeding term by a preceding term would yield the term called the common ratio

Now, let us consider the differences:

$2-1\text{ is not the same as 4-2 }$

This means that the sequence is not arithmetic

Now, let us test if geometric

Mathematically, we have that as:

$\frac{4}{2}=\frac{2}{1}=\frac{8}{4}=\frac{16}{8}\text{ = 2}$

This means that the given sequence is geometric