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Number & letter series

Teaching & Research Aptitude (Paper 1) · Unit 5 · ~15 min read · Original chapter

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A series question gives a pattern and asks for the missing or next term. The method is always the same: look at differences first, then ratios, then squares and cubes, then mixed patterns. Never guess from the first two terms alone.

Worked example: 3, 7, 13, 21, 31, ?. Differences are 4, 6, 8, 10 — rising by 2 each time. The next difference is 12, so the next term is 31 + 12 = 43. One pattern, checked across all terms, beats a clever guess from the first pair.

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