What will come in the place of question mark (?) in the following number series?
3, 6, 18, ?, 630, 6930
Correct Answer :
90
Solution :
The correct answer is 90 (Option 3).
To find the number that replaces the question mark (?), let's analyze the pattern and relation between consecutive terms in the given series:
Series: 3, 6, 18, ?, 630, 6930
Let's look at the multiplication factor between each consecutive pair of numbers:
First term to second term:
Second term to third term:
We can observe that each term is being multiplied by consecutive increasing integers (, , , etc., which are prime numbers/increasing factors).
Following this pattern, the next multiplier after 3 should be 5:
Third term to fourth term (?):
Now, let's verify if 90 satisfies the remaining terms of the series:
Fourth term to fifth term:
Fifth term to sixth term:
The sequence of multipliers is 2, 3, 5, 7, 11, which are prime numbers in increasing order.
Thus, the missing number in place of (?) is 90.
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