SOLUTION: 2 ,3 ,7 ,29,?,3729

Question 1134022: 2 ,3 ,7 ,29,?,3729
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

There is NEVER any way to know FOR SURE what the next number is in ANY problem like this. ANY number for the missing number makes a valid sequence.

However, given a problem like this, there might be a pattern that is relatively easy to see; in that case, it is LIKELY that the pattern you see is the "right" one. So on any problem like this I recommend you spend only a minute at most looking for a pattern and, if you don't see one in that amount of time, move on to some more productive activity.

In this example, I see...

3/2 is a bit more than 1
7/3 is a bit more than 2
29/7 is a bit more than 4

Looking at those numbers 1, 2, 4, ... leads to a pattern that is probably the right one:

      2 * 1 + 1 = 3
      3 * 2 + 1 = 7
      7 * 4 + 1 = 29
     29 * 8 + 1 = 233
    233 *16 + 1 = 3729

So it is LIKELY that the missing number is 233.
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