What kind of sequence is this?

167, 186, 205, 224, ...

A) Arithmetic

B) Geometric

C) Both

D) Neither

Answer: Arithmetic

Step-by-step explanation: This is an arithmetic sequence. An arithmetic sequence is a sequence that has a common difference which is the number that is repeatedly added or subtracted to reach next term in sequence.

Begin by studying the pattern.

Notice that the difference between 167 and 186 is + 19.

In other words, 167 + 19 is 186. In the same way, 186 + 19 is 205. 205 + 19 is 224 so we can see that we are adding 19 each time.

When a sequence has a number added to reach the next term forever, it is an arithmetic sequence.