Which of the following numbers will replace the question mark (?) in the given series?
1, 3, 10, 41, ?, 1237

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

Solution

1, 3, 10, 41, ?, 1237
$ 1\times 2 + 1 = 3, 3\times 3 + 1 = 10, 10\times 4 + 1 = 41$
Apply sum logic to Next Number
$ 41\times 5 + 1 = 205 + 1 = 206 $
Next Number
$ 206\times 6 + 1 = 1237 $
Ans = 206

Correct Answer : 206