Select the letter from among the given options that can replace the question mark (?) in the following series. H3K9N15Q21?
Series Pattern Analysis
The given series is H3 K9 N15 Q21 ?.
This series consists of alternating letters and numbers. We need to find the pattern for both components.
Letter Progression Logic
Let's examine the sequence of letters: H, K, N, Q.
- H is the 8th letter of the alphabet.
- K is the 11th letter. The interval is $11 - 8 = 3$.
- N is the 14th letter. The interval is $14 - 11 = 3$.
- Q is the 17th letter. The interval is $17 - 14 = 3$.
The pattern observed is that each subsequent letter is 3 positions ahead in the alphabet.
Applying this pattern, the next letter should be at position $17 + 3 = 20$. The 20th letter is T.
Number Sequence Progression
Now, let's analyze the sequence of numbers: 3, 9, 15, 21.
- The first number is 3.
- The second number is 9. The difference is $9 - 3 = 6$.
- The third number is 15. The difference is $15 - 9 = 6$.
- The fourth number is 21. The difference is $21 - 15 = 6$.
The pattern observed is that each subsequent number increases by 6.
Applying this pattern, the next number should be $21 + 6 = 27$.
Determining the Missing Term
By combining the patterns for the letters and numbers, the next term in the series is T27.
The question asks for the letter that replaces the question mark (?).
Based on our analysis, the required letter is T.
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