Question : Directions: In the following question a series is given, with one or more number(s) missing. Choose the correct alternative from the given ones that will complete the series.
?, 5, 30, 186, 1309, 10480
Option 1: 0.25
Option 2: 0.75
Option 3: 1.00
Option 4: 0
Correct Answer: 0.25
Solution :
Given:
?, 5, 30, 186, 1309, 10480
Multiply and add the sequential natural numbers to the previous term of the series –
(5 × 5) + 5 = 25 + 5 = 30
(30 × 6) + 6 = 180 + 6 = 186
(186 × 7) + 7 = 1302 + 7 = 1309
(1309 × 8) + 8 = 10472 + 8 = 10480
Similarly, (? × 4) + 4 = 5→(? × 4) = 1→(?) = 0.25
So, 0.25 is the missing term of the given series. Hence, the first option is correct.
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