Question Bank • QB_GA_005
NAT • 2 Marks
Section 8: General Aptitude
Analytical & Spatial Aptitude
Subtopic: Logic Deduction & Pattern Recognition
Question Statement:
Find the next missing number in the sequence: $2, 6, 12, 20, 30, 42, \underline{\hspace{1.5cm}}$ (answer in integer).
Step-by-Step Solution & Explanation
Look at the differences between consecutive terms:
• $6 - 2 = 4$
• $12 - 6 = 6$
• $20 - 12 = 8$
• $30 - 20 = 10$
• $42 - 30 = 12$
The differences form an arithmetic progression increasing by 2: $4, 6, 8, 10, 12, 14$.
Next term $= 42 + 14 = 56$.
(Alternatively, the sequence is $n(n+1)$ for $n=1, 2, 3, 4, 5, 6, 7 \implies 7 \times 8 = 56$).
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