SOLUTION: What is next number in sequence 2, 7, 26, 101, 400

Algebra.Com
Question 1106827: What is next number in sequence
2, 7, 26, 101, 400

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!
It is NEVER possible, in ANY problem like this, to know the RIGHT answer.

ANY next number would make a valid sequence.

And any next number you find by a logical pattern might still be "wrong", because the author of the problem used a different logical pattern.

Since it is never possible to know the right answer, it is never worthwhile to spend much time on any problem like this. I usually spend no more than a minute or so, and if I can't see anything, I find better ways to spend my time and effort.

In this one, I see that each number is "a bit less than" 4 times the previous number.

I'll let you finish finding the pattern and thus predicting the next number.

But there is no way of knowing if this is the "right" answer....

RELATED QUESTIONS

2, 7, 26, 101, 400, ? Find the next number in the... (answered by ikleyn,TeachMath)
Which number comes next 2, 7, 26, 101, 400,... (answered by ikleyn)
Next number in sequence 3, -6 , 12, 4, 20 7, 16, 8, 27, 9 2, 7, 26, 101, 400... (answered by AnlytcPhil)
Next number in sequence for the following: 7 16 8 27 9 3 -6 12 4 20 2 7 26 101... (answered by Edwin McCravy)
I need to know what the ? next number is in these two sequences: 2, 7, 26, 101, 400, ? (answered by Edwin McCravy)
what is the next # in the sequences below 3, -6, 12, 4, 20, ? 7, 16, 8, 27, 9, ? 2,... (answered by ikleyn)
What is the next number in these 4 sequences? 1. 3, -6, 12, 4, 20, ? 2. 7, 16, 8, 27,... (answered by richwmiller)
2, 7, 26, 101, 400,... (answered by JulietG)
2, 7, 26, 101, 400,... (answered by Edwin McCravy)