Describing Number Patterns

-Inductive reasoning- make conclusions based on observed paterns.

-conjunction-conclusion.

-When finding out your pattern think about addition, subtraction, multiplication, division, squares, and powers.

ex) Describe the pattern and find the next two terms.

a)2, 5, 8, 11, __, __... Each step you are:____________

                   14, 17                                Adding 3

b)2, 4, 8, 16,__, __... Each step you are:____________

                  32, 64                              Multiplying 2

c)1, 4, 9, 16,__,__... Each step you are:____________

                  25,36                                 Squaring

-Arithmatic sequence-add same number to get next term.

 1, 5, 9, 13, 17 - Plus 4

-Common difference- (d) number being added

 -10, -5, 0, 5, 10 - d=5

-Arithmetic sequence rule: A(n)=a+(n-1)d

                                           first #^ ^# ^difference

                                                      of term

ex) -5, -2, 1, 4 +3

A(n)=-5+(n-1)3 <

A(n)=-5+3n-3

A(n)=-8+3n

A(20)=-8+3*20

-8+60

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