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Find the next number in the pattern and explain your reasoning.

            2, 4, 6, ...

Now, be careful!  The above pattern can have the following answers:

    8 (of course)   ,  10 ,    12,    22,   $1,   7.5,  or  6 ! 

 

Now try these!

1, 3, 5, 7, 9, ...

-5, -3, 0, 4, 9, ...

1, 4, 9, 16, 10, 15, ...

1, 3, 6, 10, 15, ...

1, 1, 2, 3, 5, 8, 13, ...

1, 2, 5, 14, 41, ...

1, 2, 4, 8, 16, ...

94, 36, 18, ...

0, 7, 26, 63, 124, ...

                                              

1, 1, 2, 6, 24, 120, ...

8, 5, 4, 9, 1, 7, 6, 10, 3, 2, ...

1, 11, 21, 1211, 111221, 312211, 12112221, ...

O, T, T, F, F, S, S, E, ...

F, S, T, F, F, S, S, E, ...

M, T, W, T, ...

J, F, M, A, M, ...

2, 3, 4, 5, 6, 7, 8, 9, 10, J, ...

                                                       

Where would the next letter go?  with the left group or in the right group?

A, B, D, O, P               C, E, F, G, H, I, J, K, L, M, N      Where does Q go?  Why?

A, E, F, H, I                 B, C, D, G, J,                                 Where does K go?  Why?

A, H, I, M                    B, C, D, E, F, G, J,  K, L, N           Where does O go?  Why?

 

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(updated 6-22-99)