Identify a pattern in each arithmetic sequence an then find the missing terms
To identify a pattern in an arithmetic sequence, you need to observe the difference between consecutive terms. An arithmetic sequence is a sequence of numbers where the difference between any two consecutive terms is constant.
Let's take an example:
Sequence: 2, 5, 8, __, __, __
To find the missing terms, let's first determine the pattern of the sequence. To do this, we calculate the difference between consecutive terms:
5 - 2 = 3
8 - 5 = 3
The difference between each pair of consecutive terms is 3. Therefore, the pattern of this arithmetic sequence is adding 3 to the previous term to get the next term.
Now, to find the missing terms, we can apply the pattern:
2 + 3 = 5
5 + 3 = 8
8 + 3 = 11
11 + 3 = 14
14 + 3 = 17
Therefore, the missing terms in the sequence are 11, 14, and 17.