Final answer:
The question involves the mathematical concept of number line sequences and finding the common difference, which is integral to arithmetic sequences. The common difference is used to find missing terms in the sequence by determining and applying the consistent interval between consecutive numbers.
Step-by-step explanation:
The subject of the student's question appears to be related to number line sequences, specifically concerning the concept of a common difference, which is the difference between consecutive terms in an arithmetic sequence. The question involves filling in the missing numbers on a number line using this common difference. In mathematics, the common difference is an important characteristic of arithmetic sequences and allows for the prediction of subsequent numbers in the sequence.
To solve problems that involve recognizing the common difference, one must determine the interval by which consecutive numbers change and apply this interval to find missing numbers in the sequence. For example, if the sequence on the number line starts with 1, and the next number is 3, the common difference is 2, so the following numbers would be 5, 7, 9, and so on, adding 2 each time. This concept is foundational in understanding arithmetic progression and sequences in mathematics.