Question : Directions: In the following question, a series is given with one number missing. Choose the correct alternative from the ones given that will complete the series.
2, 4, 13, 41, 106, ?
Option 1: 172
Option 2: 191
Option 3: 219
Option 4: 232
Correct Answer: 232
Solution :
Given:
2, 4, 13, 41, 106, ?
The pattern followed is as follows –
2 + {(1)³ + 1} = 2 + {1 + 1} = 2 + 2 = 4
4 + {(2)³ + 1} = 4 + {8 + 1} = 4 + 9 = 13
13 + {(3)³ + 1} = 13 + {27 + 1} = 13 + 28 = 41
41 + {(4)³ + 1} = 41 + {64 + 1} = 41 + 65 = 106
106 + {(5)³ + 1} = 106 + {125 + 1} = 106 + 126 = 232
232 is the missing number. Hence, the fourth option is correct.
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