Find the Term-to-Term Rule: Analyzing Sequence 18, 22, 26, 30

Is there a term-to-term rule for the sequence below?

18 , 22 , 26 , 30

To solve this problem, we'll check the differences between consecutive terms:

• The difference between $22$ and $18$ is $22 - 18 = 4$.
• The difference between $26$ and $22$ is $26 - 22 = 4$.
• The difference between $30$ and $26$ is $30 - 26 = 4$.

All differences between consecutive terms are $4$, indicating a constant increment. Thus, the sequence is arithmetic with a common difference of $4$.

The term-to-term rule is: to get the next term, add $4$ to the current term.

Therefore, yes, there is a term-to-term rule for this sequence, given by adding $4$ to the previous term.