Question : Directions: What should come in place of the question mark (?) in the given series?
3, 10, 39, ?, 885, 5346, 37471
Option 1: 56
Option 2: 45
Option 3: 720
Option 4: 172
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Correct Answer: 172
Solution :
Given:
3, 10, 39, ?, 885, 5346, 37471
Multiply and add the square of the number (starting from 2), to the given numbers, to obtain the next numbers of the given series.
3→(3 × 2) + (2)
2
= 6 + 4 = 10
10→(10 × 3) + (3)
2
= 30 + 9 = 39
39→(39 × 4) + (4)
2
= 156 + 16 = 172
172→(172 × 5) + (5)
2
= 860 + 25 = 885
885→(885 × 6) + (6)
2
= 5310 + 36 = 5346
5346→(5346 × 7) + (7)
2
= 37422 + 49 = 37471
So, 172 is the required number of the given series. Hence, the fourth option is correct.
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