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Answer: (D) 82
Explanation
The given series follows the pattern of n² + 1, where the base numbers (n) form an arithmetic progression with a common difference of 4.
The terms in the series are calculated as follows: 1² + 1 = 2 5² + 1 = 26 9² + 1 = 82 13² + 1 = 170 17² + 1 = 290 21² + 1 = 442
The sequence of bases is 1, 5, 9, 13, 17, 21. Following this pattern, the missing base number is 9, which gives 9² + 1 = 82.