NIMCET 2025
What comes next in the sequence? 2, 6, 12, 20, 30, ?
Answer (Detailed Solution Below)View answer ▾Hide ▴
Answer: Option D — 42
Detailed Solution
Differences are 4, 6, 8, 10, so the next difference is 12: .
✓ Check
The terms are : .⚠ Common trap
(C) 36 repeats the difference 6 or takes ; the differences keep growing by 2.Quick tip
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Series — Preparation
This question tests your understanding of Series, a key topic in the Logical Reasoning section. The detailed solution above uses a step-by-step approach to show the reasoning, and where available, a shortcut that helps you solve similar questions in under 90 seconds during the actual exam.
Series questions give a sequence of numbers, letters or a mix of both, and ask you to find the next term, a missing term, or the wrong term. This topic covers number series (based on differences, squares and cubes, multiplication, or mixed operations), letter series, alphanumeric series, and repeating letter patterns. Start by checking the differences between consecutive terms. If those don't show a pattern, check the second differences, ratios, squares and cubes nearby, or whether two separate series alternate. For letter series, convert letters to their alphabet positions and look for the number pattern. With practice, recognising common patterns becomes quick and these questions become reliable marks. Practise the series questions below, each with a step-by-step solution that shows the pattern.