Answer: Option C
The given sequence AOP, CQR, EST, GUV, follows a pattern where the first letter in each group is moved two positions forward, the second letter is moved one position backward, and the third letter remains the same.
Let's break down the sequence to understand the pattern:

• AOP: A + 2 = C, O - 1 = N, P stays the same
• CQR: C + 2 = E, Q - 1 = P, R stays the same
• EST: E + 2 = G, S - 1 = R, T stays the same
• GUV: G + 2 = I, U - 1 = T, V stays the same

Using this pattern, we can determine the next term in the sequence:

• IWX: I + 2 = K, W - 1 = V, X stays the same

Therefore, option C (IWX) is the correct answer.
To summarize, the sequence follows the following pattern:

• Add 2 to the first letter in each group
• Subtract 1 from the second letter in each group
• The third letter remains the same

Some key terms and formulas related to sequences and patterns are:

• Sequence: a set of numbers or objects arranged in a particular order
• Pattern: a regular or repeating sequence of numbers or objects
• Arithmetic sequence: a sequence of numbers where each term is found by adding a fixed value to the previous term (e.g., 1, 3, 5, 7...)
• Geometric sequence: a sequence of numbers where each term is found by multiplying the previous term by a fixed value (e.g., 1, 2, 4, 8...)
• Recursive formula: a formula that defines the nth term of a sequence in terms of the previous term(s) (e.g., a_n = a_(n-1) + 3 for the sequence 1, 4, 7, 10...)
• Explicit formula: a formula that gives the nth term of a sequence directly (e.g., a_n = 3n + 1 for the sequence 4, 7, 10, 13...)