Find the missing number in the series: 4, 18, ?, 100, 180, 294, 448
Reasoning Ability ·Previously asked in JKSSB Patwari 2024
View the full solved paper: JKSSB Patwari – 1 September 2024 Set A
Question
Find the missing number in the series: 4, 18, ?, 100, 180, 294, 448
- A. 48 (Correct answer)
- B. 50
- C. 58
- D. 60
Correct Answer
Option A — 48
Detailed Solution & Explanation
The correct answer is 48.
Key Points
- Pattern: n × (n+1)² → n=1: 1×4=4; n=2: 2×9=18; n=3: 3×16=48; n=4: 4×25=100; n=5: 5×36=180; n=6: 6×49=294; n=7: 7×64=448.
- The missing term at position n=3 is 3×16 = 48.