Question Bank • QB_EXP_GA_SER_001
NAT • 1 Mark
Section 8: General Aptitude
Analytical: Number Series, Letter Patterns & Codes
Subtopic: Polynomial quadratic sequence prediction
Question Statement:
Find the missing number in the following sequence: $2, \; 5, \; 10, \; 17, \; 26$, ________.
Step-by-Step Solution & Explanation
The sequence follows the pattern $T_n = n^2 + 1$:
- $1^2 + 1 = 2$
- $2^2 + 1 = 5$
- $3^2 + 1 = 10$
- $4^2 + 1 = 17$
- $5^2 + 1 = 26$
- For $n = 6$: $6^2 + 1 = 36 + 1 = 37$.
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