Question : Directions: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
8, 15, 28, 53, ?
Option 1: 106
Option 2: 100
Option 3: 108
Option 4: 102
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Correct Answer: 102
Solution :
Given:
8, 15, 28, 53, ?
Multiply the previous term by 2 and then subtract consecutive natural numbers to get the next term.
(8 × 2) – 1 = 16 – 1 = 15;
(15 × 2) – 2 = 30 – 2 = 28;
(28 × 2) – 3 = 56 – 3 = 53;
(53 × 2) – 4 = 106 – 4 = 102
So, 102 is the missing number in the given series. Hence, the fourth option is correct.
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