Question 1151346: use inductive reasoning to predict the most probable next number in the list 7,9,5,7,3,5,1,3,-1,?
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
7+2=9; 9-4=5
5+2=7; 7-4=3
3+2=5; 5-4=1
1+2=3; 3-4=-1
The apparent pattern is "add 2, subtract 4, repeat". So the most probable next number in the sequence is
-1+2=1
Alternatively, separate the given sequence into two spliced sequences:
7 5 3 1 -1
9 7 5 3 x
In each sub-sequence, the pattern is to repeatedly subtract 2. That means the next number (in the second sub-sequence) is 1.
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