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”.