Question : Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series.
2, 3, 8, ?, 112, 565
Option 1: 565
Option 2: 112
Option 3: 27
Option 4: 8
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Correct Answer: 27
Solution :
Given:
2, 3, 8, ?, 112, 565
Multiply and add natural numbers to find the next term.
(2 × 1) + 1 = 2 + 1 = 3;
(3 × 2) + 2 = 6 + 2 = 8;
(8 × 3) + 3 = 24 + 3 = 27;
(27 × 4) + 4 = 108 + 4 = 112;
(112 × 5) + 5 = 560 + 5 = 565
So, the missing number is 27. Hence, the third option is correct.
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