SOLUTION: Use inductive reasoning to determine the next three numbers in the pattern: 2, 9, 20, 35, �. Can you please help...<0>

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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