To solve this, let's first identify the pattern in the sequence:

Given sequence: 5, 9, 13, 17, __, __

Step 1: Find the pattern

To determine the pattern, we can subtract each term from the subsequent term:

• $9 - 5 = 4$
• $13 - 9 = 4$
• $17 - 13 = 4$

The difference between consecutive terms is constant at 4. This means the sequence is arithmetic.

Step 2: Complete the sequence

Since the difference between terms is 4, we can find the next two terms by adding 4 to the last given term:

• $17 + 4 = 21$
• $21 + 4 = 25$

So, the complete sequence is: 5, 9, 13, 17, 21, 25.

Step 3: Determine the type of sequence

Since the difference between consecutive terms is constant, the sequence is arithmetic.

Final Answer:

• Missing terms: 21, 25
• Type of sequence: A (Arithmetic)

Would you like more details or have any questions about this sequence? Here are some additional related questions:

1. What is the formula for the $n$th term of this arithmetic sequence?
2. How do you calculate the sum of the first $n$ terms of an arithmetic sequence?
3. Can you determine the 10th term of this sequence?
4. What would happen if the difference between terms was negative?
5. How do you identify a geometric sequence?

Tip: In an arithmetic sequence, the difference between consecutive terms (called the common difference) is always the same.