Question 177077This question is from textbook  
:  Use inductive reasoning to determine the next three numbers in the pattern: 2, 9, 20, 35, …. Can you please help...<0> 
This question is from textbook  
 Answer by colliefan(242)      (Show Source): 
You can  put this solution on YOUR website! 2, 9, 20, 35, ...
 
 
2 + 7 =  9  
9 + 11 = 20 
20 + 15 = 35
 
11 is 4 more than 7 and 15 is 4 more than 11.
 
If this is the pattern, each new number should be increased by a number that is 4 more than the last increase and the next numbers would be:
 
35 + 19 = 54 
54 + 23 = 77 
77 + 27 = 104 
 and the series is 2, 9, 20, 35, 54, 77, 104
 
 
What do you think?
 
 
  
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