Letter Sequence Pattern Analysis
Examine the given letter sequence: A, C, F, J...
We need to find the $5^{th}$ letter in this sequence.
Identify the Pattern
First, let's determine the position of each given letter in the alphabet and find the difference between consecutive terms:
- A is the 1st letter.
- C is the 3rd letter. The difference is $3 - 1 = 2$.
- F is the 6th letter. The difference is $6 - 3 = 3$.
- J is the 10th letter. The difference is $10 - 6 = 4$.
The pattern observed is that the difference between the positions of consecutive letters increases by 1 each time (+2, +3, +4).
Calculate the $5^{th}$ Letter
Following the pattern, the difference between the $4^{th}$ letter (J) and the $5^{th}$ letter should be +5.
The position of J is 10.
The position of the $5^{th}$ letter = Position of J + 5
Position of the $5^{th}$ letter = $10 + 5 = 15$.
The $15^{th}$ letter of the English alphabet is O.
Therefore, the $5^{th}$ letter in the sequence is O.
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