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

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

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).