The missing number in the series 1, 3, 10, 41, ?, 1237 is 206

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a) 210
b) 202
c) 206
d) 200

Solution:

The pattern of the series is:
1 x 2 + 1 = 3
3 x 3 + 1 = 10
10 x 4 + 1 = 41
41 x 5 + 1 = 206
206 x 6 + 1 = 1237 

The logic is to multiply the previous number by an increasing integer (starting from 2) and add 1. 

Applying the pattern to 41 results in:
41 * 5 + 1 = 206 

Therefore, the missing number is 206.

The correct answer is (c).

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