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.
5, 13, 40, 104, ?
Option 1: 229
Option 2: 239
Option 3: 259
Option 4: 269
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Correct Answer: 229
Solution :
Given:
5, 13, 40, 104, ?
Add the cube of consecutive natural numbers to each term to obtain the next term in the series –
5 + (2)
3
= 5 + 8 = 13; 13 + (3)
3
= 13 + 27 = 40; 40 + (4)
3
= 40 + 64 = 104; 104 + (5)
3
= 104 + 125 = 229
229 is the missing number. Hence, the first option is correct.
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