Question

The first term of an arithmetic sequence is

42. The rule an = Q71-2 + 8 can be used to find
the next term of the sequence.

Answer 1

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.