Final answer:
The next term in the pattern 6, 14, 22, 30, 38 is obtained by adding 8 to the last term. The next term is 46.
Step-by-step explanation:
The pattern in the sequence is that each term increases by 8 from the previous term: 6, 14 (6 + 8), 22 (14 + 8), 30 (22 + 8), 38 (30 + 8). To find the next term after 38, we add 8 again.
38 + 8 = 46.
Therefore, the next term in the pattern is 46.
To determine the next term in the pattern, we need to identify the rule or pattern that the numbers are following. Looking at the given sequence 6, 14, 22, 30, 38, we can observe that each number is obtained by adding 8 to the previous number. Therefore, to find the next term, we add 8 to 38, resulting in 46.