Identify the pattern in each arithmetic sequence and then find the missing terms. 45,38,31,24, _ ,_
What is the difference between each pair of numbers?
To identify the pattern in an arithmetic sequence, we need to find the common difference between the terms. The common difference is the constant value that is added or subtracted to get from one term to the next.
In this sequence, we can see that each term is obtained by subtracting 7 from the previous term. Therefore, the common difference is -7.
To find the missing terms, we can apply the common difference and continue the pattern:
The first missing term is 24 - 7 = 17.
The second missing term is 17 - 7 = 10.
So, the missing terms in the arithmetic sequence are 17 and 10.
Therefore, the complete sequence is:
45, 38, 31, 24, 17, 10.