Question

Find the next term in the series: A1C, D4F, G9I, J16L, ?

• A. L26P
• B. M25P
• C. N25O
• D. M25O

Hint:

For alphanumeric series, always break down the series into separate patterns for letters and numbers. Check for simple arithmetic progressions (for letters) and common mathematical sequences (squares, cubes, etc., for numbers).

Answer 1

The Correct Option is D

Step 1: Understanding the Question:
The series consists of terms with three parts: a starting letter, a number, and an ending letter. We need to identify the pattern for each part to determine the next term in the series.
Step 2: Detailed Explanation:
Let's analyze each component of the series separately.
1. The First Letter Series: A, D, G, J, ... - A \(\rightarrow\) D (A + 3 letters: B, C, D) - D \(\rightarrow\) G (D + 3 letters: E, F, G) - G \(\rightarrow\) J (G + 3 letters: H, I, J) The pattern is to add 3 to the position of the current letter. The next letter will be J + 3 letters (K, L, M) \(\rightarrow\) M.
2. The Number Series: 1, 4, 9, 16, ... - 1 = 1\(^2\) - 4 = 2\(^2\) - 9 = 3\(^2\) - 16 = 4\(^2\) The pattern is the square of consecutive natural numbers. The next number will be 5\(^2\) = 25.
3. The Second Letter Series: C, F, I, L, ... - C \(\rightarrow\) F (C + 3 letters: D, E, F) - F \(\rightarrow\) I (F + 3 letters: G, H, I) - I \(\rightarrow\) L (I + 3 letters: J, K, L) The pattern is to add 3 to the position of the current letter. The next letter will be L + 3 letters (M, N, O) \(\rightarrow\) O.
Step 3: Final Answer:
Combining the three parts, the next term in the series is M25O.