Solving the Letter Series: AB, CE, FH, ?

This question asks us to identify the pattern in the given series of letter pairs and determine the next pair in the sequence. The series is AB, CE, FH, ?.

Analyzing the Series Pattern

Let's break down the series by looking at the first letter and the second letter of each pair separately.

First Letter Progression

The first letters of the pairs are A, C, F.

We can determine their positions in the alphabet:

• A is the 1st letter.
• C is the 3rd letter.
• F is the 6th letter.

Now, let's find the difference in positions between consecutive first letters:

• Position difference between C and A: \(3 - 1 = 2\).
• Position difference between F and C: \(6 - 3 = 3\).

The pattern of the differences is +2, +3. It suggests that the next difference will be +4.

To find the next first letter, we add 4 to the position of F:

• Position of F = 6.
• Next position = \(6 + 4 = 10\).
• The 10th letter of the alphabet is J.

So, the first letter of the next pair is J.

Second Letter Progression

The second letters of the pairs are B, E, H.

Let's determine their positions in the alphabet:

• B is the 2nd letter.
• E is the 5th letter.
• H is the 8th letter.

Now, let's find the difference in positions between consecutive second letters:

• Position difference between E and B: \(5 - 2 = 3\).
• Position difference between H and E: \(8 - 5 = 3\).

The pattern of the differences is +3, +3. It suggests that the next difference will also be +3.

To find the next second letter, we add 3 to the position of H:

• Position of H = 8.
• Next position = \(8 + 3 = 11\).
• The 11th letter of the alphabet is K.

So, the second letter of the next pair is K.

Determining the Next Term

Combining the next first letter (J) and the next second letter (K), we get the next pair in the series.

The next term in the series is JK.

Summary Table

Here's a summary of the positions and differences:

Therefore, the correct next term in the series is JK.