SOLUTION: Hey! I'm trying to figure out what the general formula is based on the following sequence: {2/3, -3/5, 4/7, -5/9} So I believe that the numerator is something like (n+1) but

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Question 1081833: Hey!
I'm trying to figure out what the general formula is based on the following sequence: {2/3, -3/5, 4/7, -5/9}
So I believe that the numerator is something like (n+1) but I can't for the life of me figure out the bottom or the negatives..
Thanks!

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
Sign alternates with successive terms.
Numerator increases by 1 each term, and denominator increases by 2 for each successive term.

necessary factor for each n term.



Put those together:

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Hey!
I'm trying to figure out what the general formula is based on the following sequence: {2/3, -3/5, 4/7, -5/9}
So I believe that the numerator is something like (n+1) but I can't for the life of me figure out the bottom or the negatives..
Thanks!
The correct rule is:  

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