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Next Numbers Please #5 (Posted on 2004-12-05) Difficulty: 3 of 5
What are the next two numbers in the following sequence:

1, 2, -3, 4, -11, -2, -7, -24, 41, -38, 117, 44, . . .

See The Solution Submitted by Brian Smith    
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solution and explanation | Comment 2 of 6 |

i agree with wof, the answer is 29, 278

to get the value of an odd term (starting with term 3) one must take the term 2 before that, and subtract from it the immediately previous term

-3=1-2(2)   -11=-3-2(4) -7=-11-2(-2) and so on...

to get the value of an even term, one must add the term 3 before it, thrice the term 2 before it, and the term immediately before it

4=1+3(2)+-3   -2=3+3(4)+-11...

so, one gets term 13 to be 117-2(44)=29

and term 14 to be 117+3(44)+29=278


  Posted by Joe Ruby on 2004-12-05 23:02:13
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