Question

Which rule shows that each term is 8 more than the previous term in an arithmetic sequence?

1) The explicit formula of an arithmetic sequence is the initial term plus (n – 1)d.
2) The explicit rule for this function can be found by substituting 42 for a1 and 8 for d.
3) The explicit rule for the sequence is 42 (n – 1)8.
4) The common difference is 8.

Answer 1

The rule that shows that each term is 8 more than the previous term in an arithmetic sequence is that the common difference is 8.

Step-by-step explanation:

The rule that shows that each term is 8 more than the previous term in an arithmetic sequence is option 4) The common difference is 8.

In an arithmetic sequence, the common difference is the constant amount by which each term increases or decreases. So, if the common difference is 8, each term in the sequence will be 8 more than the previous term.

For example, if the first term is 10, the second term would be 10 + 8 = 18, the third term would be 18 + 8 = 26, and so on.