Question : Directions: In the following question a series is given, with one number missing. Select the missing number from the given series.
1, 8, 29, 92, 281, ?
Option 1: 567
Option 2: 628
Option 3: 776
Option 4: 848
Correct Answer: 848
Solution :
Given:
1, 8, 29, 92, 281, ?
Multiply 7 with 3 raised to a power (which will increase with each term) and add it to the previous term to get the next term of the series –
1 + (7 × 3
0
) = 1 + (7 × 1) = 1 + 7 = 8
8 + (7 × 3
1
) = 8 + (7 × 3) = 8 + 21 = 29
29 + (7 × 3
2
) = 29 + (7 × 9) = 29 + 63 = 92
92 + (7 × 3
3
) = 92 + (7 × 27) = 92 + 189 = 281
281 + (7 × 3
4
) = 28 + (7 × 81) = 281 + 567 = 848
So, the next term is 848. Hence, the fourth option is correct.
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