Final answer:
Without the provided sequence, it is not possible to calculate the rate of change, predict the next term, describe the pattern, or write the explicit function as requested.
Step-by-step explanation:
The student's question seems to be about a sequence and determining whether it has a constant rate of change, predicting the next term in the sequence, identifying the pattern of the graph of the sequence's terms, and expressing the sequence as an explicit function. Unfortunately, the sequence itself is not provided, making it impossible to answer points 1 to 4 with the given information. To determine if there is a constant rate of change, one would typically subtract consecutive terms to find a common difference.
An ordered pair for the next term could be given if the rule of the sequence was known. If all points lie on a straight line on the graph, they would follow a linear pattern. Lastly, a sequence can often be expressed as an explicit function if a pattern or rule is discernable from the given terms.