Question:
What comes next in the series?
\(2, 6, 12, 20, 30, \ ?\)
What comes next in the series?
\(2, 6, 12, 20, 30, \ ?\)
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Look at the difference between terms in a number series to detect patterns. Increasing or constant differences often indicate polynomial relationships.
Updated On: Jun 2, 2025
- 40
- 42
- 36
- 44
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The Correct Option is B
Solution and Explanation
Step 1: Observe the pattern in the series.
Let's examine the difference between consecutive terms: \[ 6 - 2 = 4, 12 - 6 = 6, 20 - 12 = 8, 30 - 20 = 10 \] So the differences are increasing by 2 each time: \(+4, +6, +8, +10\)
Step 2: Add the next difference (which should be +12) to the last term: \[ 30 + 12 = 42 \]
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