Question : Directions: Select the number from among the given options that can replace the question mark (?) in the following series. 17, 25, 52, 116, 241, ?
Option 1: 457
Option 2: 467
Option 3: 461
Option 4: 447
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Correct Answer: 457
Solution : Given: 17, 25, 52, 116, 241, ?
In the above-given series, add cubes of consecutive natural numbers – 17 + (2) 3 = 17 + 8 = 25 25 + (3) 3 = 25 + 27 = 52 52 + (4) 3 = 52 + 64 = 116 116 + (5) 3 = 116 + 125 = 241 241 + (6) 3 = 241 + 216 = 457
So, the missing number is 457. Hence, the first option is correct.
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