Question 196868: 1. Use inductive reasoning to determine the next three numbers in the pattern:
__1__ ___1__ _1___
3 9 27
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! The numerators follow the pattern: 1, 1, 1, ...
The denominators follow the pattern: 3, 9, 27, ...
Notice how if multiply 3 by 3, we get 9. If we multiply 9 by 3, we get 27, etc..
So the rule is to multiply the denominators by 3 to get the next term. So the next three denominators are:  ,  , and 
This means that the next three terms are:  ,  and 
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