Complete the Number Sequence: Finding Missing Terms in 20, 24, 26

Question

Complete the following sequence:

20,,24,26, 20,\ldots,24,26\ldots ,\ldots

Step-by-Step Solution

To solve the problem of completing the sequence 20,,24,26,, 20, \ldots, 24, 26, \ldots, \ldots , we recognize the sequence's underlying pattern.

Step 1: Analyze known terms.
The given sequence begins with 20,,24,26,, 20, \ldots, 24, 26, \ldots, \ldots . Notice the known terms 20 20 and 24 24 , and 26 26 .

Step 2: Determine the difference between known terms.
The difference between 24 24 and 20 20 is 4 4 , suggesting an ongoing pattern.
Between 26 26 and 24 24 , the difference is 2 2 , proposing alternation in differences or a complete oversight of interspersed terms around 26 26 .

Step 3: Determine full sequence consistency.
Check if numbers align with a two-step even-number sequence, which implies adding 2 2 successively.
Extending forward and back confirms 20,22,24,26,28, 20, 22, 24, 26, 28, \ldots .

Step 4: Verification considering other instructions.
The sequence appears to be a straightforward arithmetic one comprising purely even numbers beginning from 20 20 . This step requires confirming subsequent numbers 28,30 28, 30 .

Conclusion: Sequential confirmation proves the arithmetic nature of the understanding, yielding:

20,22,24,26,28,30 20,22,24,26,28,30

Answer

20,22,24,26,28,30 20,22,24,26,28,30