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

Question

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

18 , 22 , 26 , 30

Video Solution

Solution Steps

00:00 Is there a pattern, and if so, what is it?
00:03 We can notice that each term is smaller than the previous one by 4
00:11 Therefore there is a pattern, which is to subtract 4
00:15 And this is the solution to the question

Step-by-Step Solution

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

  • The difference between 2222 and 1818 is 2218=422 - 18 = 4.
  • The difference between 2626 and 2222 is 2622=426 - 22 = 4.
  • The difference between 3030 and 2626 is 3026=430 - 26 = 4.

All differences between consecutive terms are 44, indicating a constant increment. Thus, the sequence is arithmetic with a common difference of 44.

The term-to-term rule is: to get the next term, add 44 to the current term.

Therefore, yes, there is a term-to-term rule for this sequence, given by adding 44 to the previous term.

Answer

Yes