Question

For each sequence below, describe the rule and write thenext two terms.

a) 2, 5, 8, The rule is
b) 18, 23, 13, The rule is

Answer 1

For the first sequence (2, 5, 8), the rule is to add 3 to each term to find the next term; the next two terms are 11 and 14. The second sequence (18, 23, 13) doesn't provide enough information to establish a pattern, so the rule cannot be determined.

Step-by-step explanation:

The rule for the sequence 2, 5, 8 is to add 3 to the previous term. Applying this rule, the next two terms would be 11 (8 + 3) and 14 (11 + 3).

For the sequence 18, 23, 13, there appears to be a mistake as there is no clear pattern from just three terms. With the given terms, one cannot determine the rule or the subsequent terms with certainty, so we are unable to provide the next two terms without further information.