SOLUTION: find the missing terms in the arithmetic sequence ..., 3.4, __, ___, -2, ...

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Question 1180866: find the missing terms in the arithmetic sequence
..., 3.4, __, ___, -2, ...
Found 2 solutions by Theo, MathTherapy:
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
arithmetic sequence has the same difference between consecutive value.
3.4 - x - x - x = -2.0
3.4 - 3x = -2.0
your equation is 3.4 - 3x = -2.0
add 3x to both sides and add 2.0 to both sides to get:
5.4 = 3x
solve for x to get:
x = 5.4/3 = 1.8
3.4 - 3x = -2.0 becomes:
3.4 - 3 * 1.8 = -2 which becomes:
3.4 - 5.4 = -2 which becomes
-2 = -2, confirming the value of x is correct.

you can slso use the arithmetic series formula shown in the following reference.

https://www.mathsisfun.com/algebra/sequences-sums-arithmetic.html
Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!

find the missing terms in the arithmetic sequence
..., 3.4, __, ___, -2, ...
         1st term or 

Common difference, or 

The above should help you to find the required answers. 

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