SOLUTION: write the general term for: 2, -5, 8, -11, .....

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Question 1064681: write the general term for:
2, -5, 8, -11, .....

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

First we get the general term for 2, 5, 8, 11, ... 
which is an arithmetic sequence and has general term 

a%5Bn%5D=a%5B1%5D%2B%28n-1%29d

a%5Bn%5D=2+%2B+%28n-1%29%283%29

a%5Bn%5D=2%2B3n-3

a%5Bn%5D=3n-1

Now we multiply that general term by the sign-alternating 
factor (-1)n+1.  We'll call the general term tn.

t%5Bn%5D=%28-1%29%5E%28n%2B1%29%2A%283n-1%29 

Edwin