Question

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

Answer 1

`Geometric`

Step-by-step 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:

`(4)/(2)=(2)/(1)=(8)/(4)=(16)/(8)\text{ = 2}`

This means that the given sequence is geometric