We are given a series as 3,3,6,18,72,360,?
- 2040
- 2105
- 2100
- 2160
Explanation
We are given a series as 3,3,6,18,72,360,?
Now our duty is to find the pattern in the series.
Let’s take the first two terms 3 and 3.
The only clue we get is that the second term is ×1
of the first term.
And also if we add 0 to 3 we get the answer as 3.
Now for the next two terms 3 and 6.
Now 3×2=6
. So the pattern of the product is fit.
Let’s check for the addition. Its 3+3=6
Next are 6 and 18.
So 6×3=18
. So the product works.
For addition, 6+12=18
But we are not getting any chain or relation between the term for addition so we will drop it here only and will go with the product.
Thus,
3×1=3
3×2=6
6×3=18
18×4=72
72×5=360
Now the term that will replace the question mark will be 6 times 360.
360×6=2160
Thus the missing number is 2160.
Thus the series is 3,3,6,18, 72,360,2160.
So, the correct answer is “2160”.
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