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NTPC Graduate Tier 1 2025 Shift-2 📅 05 Jun, 2025

Identify the number that should logically replace the question mark (?) in the following series.

2, 6, 12, 20, 30, ?

A
40
B
42
C
44
D
48
Result Summary
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APEDIA

NTPC Graduate Tier 1
2025 • 05 Jun, 2025 • Shift-2
Identify the number that should logically replace the question mark (?) in the following series.

2, 6, 12, 20, 30, ?
Correct Answer
42
Step-Difference Strategy: Evaluate the absolute numerical gaps between consecutive terms to expose the underlying progression.Gap Calculation: 6 - 2 = 4; 12 - 6......
💡 Analysis & Explanation
Step-Difference Strategy
Evaluate the absolute numerical gaps between consecutive terms to expose the underlying progression.
Gap Calculation
6 - 2 = 4; 12 - 6 = 6; 20 - 12 = 8; 30 - 20 = 10.
Pattern Recognition
The differences (4, 6, 8, 10) form a straightforward sequence of consecutive even numbers.
Extrapolation Phase
The next logical gap must naturally be 12. Adding this to the final term: 30 + 12 = 42.
Conclusion
The sequence strictly terminates with the number 42.