math...number sequence
posted by M.A. .
What is the next logical number in the following number sequence? and Why?
5, 8, 14, 26

Questions like this may contain multiple answers, as long as the explanation is logical. Here's one that comes to mind:
Take the difference between the numbers and examine the generated sequence of three numbers:
85=3
148=6
2614=12
It seems that the difference doubles every time, so the next differences are 24, 48, 96, ...
Thus the continuation of the sequence is:
5,8,14,26,50,98,194...
where the difference doubles every time. 
I thought 24 would be the next number in the sequence, but I am being given a list of numbers, one of which is the correct answer. The choices of the correct answer are:
38, 40, 41, or 50 
I understand it now.
When the differences between the numbers doubles each time, then I add 24 to the final number of 26 = 50.
Thanks so much for helping this
mathematically challenged person! 
y=2x2
y=next number
x=lastest number 
1 2 3 4 5 6
_______________________________________4 15 32 55 84 119
find the 20th term for to this table. 
i need help with this partter
n 1,2,5,7,11 give me numbers that follow the parttern 
What is the tru? 12,28,48 ar 16,32,48?

8,14,26,50