Completion of Number and Alphabetical Series
About 6 min · General Intelligence and Reasoning · English
Time worked out from the lesson's 352 words at 150 words a minute, plus a minute for each question.
Series completion is a core topic in the General Intelligence and Reasoning section of RRB NTPC. Questions ask you to identify the pattern in a given sequence of numbers, letters, or a mix of both, and then find the missing term or the next term. This tests your ability to spot logical relationships quickly—a crucial skill under time pressure.
Key ideas
- Number series typically use arithmetic operations (addition, subtraction, multiplication, division), perfect squares, cubes, primes, or factorial-based patterns. Some use differences of differences (second-order patterns).
- Alphabetical series rely on the position of letters in the alphabet (A=1, B=2, …, Z=26). Patterns include fixed jumps, increasing jumps, reverse order, or vowel-consonant alternation.
- Alphanumeric series mix numbers and letters. Solve the number part and letter part separately, then combine. Often one part is straightforward while the other has the trick.
- Alternating series have two interleaved sub-series. Separate odd-position and even-position terms and solve each independently.
- Difference method is your most powerful tool. Write the differences between consecutive terms. If differences themselves form a pattern, you've found your rule.
Watch out for
- Ignoring alternating patterns → Always check if odd and even positions follow different rules. Many students miss this and get confused when a single rule doesn't fit all terms.
- Miscalculating letter positions → Students confuse forward positions with reverse positions, or skip letters in mental counting. Use reference points (E=5, J=10, O=15, T=20, Z=26) to avoid errors.
- Stopping at first-order differences → If differences between terms don't show a clear pattern, compute second-order differences (differences of differences). Many quadratic-style series hide their pattern one level deeper.
Quick reference
- First step: Write out differences between consecutive terms.
- Alphabet positions: A=1, E=5, J=10, O=15, T=20, Z=26.
- Common patterns: +constant, ×constant, ±alternating, squares/cubes, primes, Fibonacci.
- Alternating series: Separate odd/even positions and solve each sub-series.
- Alphanumeric: Split number and letter parts; solve independently.
Check yourself: 3 questions
1. Find the missing term in the series: 3, 6, 11, 18, 27, ?
2. Find the missing term in the series: B, D, G, K, P, ?
3. Find the missing term in the series: 2, 6, 12, 20, 30, ?
This lesson is cut from the topic's note, not rewritten. Fact-checked on 18 Oct 2026: an AI-assisted check of this note against cited sources; the errors it found were corrected that day. Some errors may remain. The questions are from Shishya's validated question bank.
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