Question Bank • QB_GA_ADV_121
MCQ • 1 Mark
Section 8: General Aptitude
Analytical & Spatial Aptitude
Subtopic: Logic Deduction & Pattern Recognition
Question Statement:
Find the next number in the sequence:
$3,\; 8,\; 18,\; 38,\; 78,\; \underline{\hspace{1.5cm}}$
Options:
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(A) $158$
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(B) $156$
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(C) $148$
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(D) $168$
Step-by-Step Solution & Explanation
**Method 1: Differences Pattern**
- $8 - 3 = 5$
- $18 - 8 = 10$
- $38 - 18 = 20$
- $78 - 38 = 40$
The successive differences double each time ($5, 10, 20, 40, 80$).
$\text{Next term} = 78 + 80 = 158$
**Method 2: Multiplicative Recurrence**
$a_{n+1} = 2a_n + 2$
- $2(3) + 2 = 8$
- $2(8) + 2 = 18$
- $2(18) + 2 = 38$
- $2(38) + 2 = 78$
- $2(78) + 2 = 156 + 2 = 158$
Option **A** is correct.
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