Question : Directions: Which number will replace the question mark (?) in the following series?
3, 13, 53, 213, ?, 3413
Option 1: 1053
Option 2: 853
Option 3: 953
Option 4: 753
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Correct Answer: 853
Solution :
Given:
3, 13, 53, 213, ?, 3413
Multiply each number by 4 and then add 1 to the resultant, to obtain the next number in the series.
3 × 4 + 1 = 13; 13 × 4 + 1 = 53; 53 × 4 + 1 = 213; 213 × 4 + 1 = 853; 853 × 4 + 1 = 3413
So, 853 is the missing number in the series. Hence, the second option is correct.
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