Question : Directions: In the following question, a series is given with one number missing. Select the missing number from the given alternatives.
3, 7, 16, 35, ?
Option 1: 65
Option 2: 72
Option 3: 74
Option 4: 76
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Correct Answer: 74
Solution :
Given:
3, 7, 16, 35, ?
Multiply the terms by 2 and add consecutive natural numbers to the results.
(3 × 2) + 1 = 6 + 1 = 7; (7 × 2) + 2 = 14 + 2 = 16; (16 × 2) + 3 = 32 + 3 = 35; (35 × 2) + 4 = 70 + 4 = 74
So, the required missing number is 74. Hence, the third option is correct.
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