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Find the missing number in the series: 2, 5, 10, 17, 26, ?

Competition practiceNumber Series

A39
B35
C37
D41

Step-by-Step Solution

Terms are

n^{2} + 1 (1^{2} + 1, 2^{2} + 1

, …); differences are 3, 5, 7, 9, 11. So

26 + 11 = 37 (= 6^{2} + 1)

.

Answer: C) 37

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