Find the missing term of the following letter series :
A, CD, GHI, ?, UVWXY

Question

Accepted Answer

To determine the missing term in the letter series A, CD, GHI, ?, UVWXY, we need to identify the pattern in the sequence.

1. **Pattern Analysis:**
   - The first term is "A," which is a single letter.
   - The second term is "CD," which consists of two letters.
   - The third term is "GHI," which consists of three letters.
   - The fifth term is "UVWXY," which consists of five letters.

Observing the pattern, each subsequent term in the series increases by one letter. Therefore, the missing term should consist of four letters.

2. **Letter Sequence:**
   - The first letter of each term follows a specific sequence:
     - A (1st letter of the alphabet)
     - C (3rd letter of the alphabet)
     - G (7th letter of the alphabet)
     - U (21st letter of the alphabet)

The difference between the positions of the starting letters is as follows:
   - C - A = 2
   - G - C = 4
   - U - G = 14

The pattern in the differences is not immediately obvious, but we can focus on the number of letters in each term to identify the missing term.

3. **Identifying the Missing Term:**
   - Since the missing term should have four letters, we look at the options:
     - Option 1: LMNO (4 letters)
     - Option 2: MNO (3 letters)
     - Option 3: MNOP (4 letters)
     - Option 4: NOPQ (4 letters)

Options 1, 3, and 4 have four letters, but we need to determine which fits the sequence logically.

4. **Logical Sequence:**
   - The sequence of starting letters (A, C, G, ?) suggests a pattern where the missing term should logically follow GHI and precede UVWXY.
   - The sequence of letters in the alphabet after G is H, I, J, K, L, M, N, O, P, Q, R, S, T, U.
   - The term "MNOP" fits as it follows the alphabetical sequence after GHI and before UVWXY.

5. **Conclusion:**
   - Option 3: MNOP is the correct answer because it consists of four letters, fitting the pattern of increasing the number of letters in each term, and it logically follows the sequence after GHI.

6. **Explanation of Incorrect Options:**
   - Option 1: LMNO is incorrect because it does not logically follow the sequence after GHI.
   - Option 2: MNO is incorrect because it only has three letters, not fitting the pattern of increasing the number of letters.
   - Option 4: NOPQ is incorrect because it does not logically fit the sequence after GHI and before UVWXY.

Therefore, the correct answer is Option 3: MNOP.