Question : Directions: In the following question a series is given, with one number missing. Select the missing number from the given series.
?, 5, 15, 45, 113
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution :
Given:
?, 5, 15, 45, 113
Add natural numbers starting from 1 and their cube to get the next term of the series –
? + {(1)
3
+ 1} = ? – {1 + 1} = 5 – 2 = 3
5 + {(2)
3
+ 2} = 5 + {8 + 2} = 15
15 + {(3)
3
+ 3} = 15 + {27 + 3} = 45
45 + {(4)
3
+ 4} = 45 + {64 + 4} = 113
So, the required missing term is 3. Hence, the third option is correct.
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