Explain how to write the explicit rule for the arithmetic sequence from the given information.

Answer:

The rule shows that each term is 8 more than the previous term, so the common difference is 8 The explicit formula of an arithmetic sequence is the initial term plus (n 1)d. The explicit rule for this function can be found by substituting 42 for a1 and 8 for d. The explicit rule for the sequence is 42 (n 1)8.