The question asks to identify the missing letters in the sequence. Let us analyze the given pattern and solve it step-by-step.

Problem:

The sequence is written as:

p _ q r _ r _ p q q _ q r p _

Options:

1. pqqqp
2. prrqp
3. rrrqr
4. rqqpr

Step 1: Analyze the existing sequence

The sequence provided includes some fixed letters:

• "p", "q", "r" repeat at different positions.
• We need to fill the blanks logically to form a consistent pattern.

Step 2: Compare with the options

The sequence must match one of the given choices:

1. Option 1: pqqqp
   Substituting pqqqp into the blanks does not form a consistent pattern.
   This is incorrect.

2. Option 2: prrqp
   Substituting prrqp forms the sequence:
   p q r r r p q q r q r p
   This matches perfectly!

3. Option 3: rrrqr
   Substituting rrrqr disrupts the sequence and breaks the pattern.
   This is incorrect.

4. Option 4: rqqpr
   Substituting rqqpr also disrupts the sequence and fails to match the pattern.
   This is incorrect.

Final Answer:

Option 2: prrqp

Would you like a more detailed breakdown of the reasoning or explanation? Let me know!

Related Questions:

1. What are common techniques to solve such pattern-based questions?
2. Can we solve similar problems using logical deduction rules or algorithms?
3. How do we identify repetition patterns in sequences?
4. What are examples of mathematical applications for sequence completion?
5. How does pattern recognition improve problem-solving in exams?

Tip:

Always look for fixed points or repeating elements in patterns to simplify your analysis.