1. In an arithmetic series, three consecutive terms have a sum of -9 and a product of 48. Find the possible values of these terms.

I really cant figure it out. I tries using the Sum of series formula and arithmetic series formula, but no results.

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- February 1st 2009, 12:35 AMmilanArithmetic series question
1. In an arithmetic series, three consecutive terms have a sum of -9 and a product of 48. Find the possible values of these terms.

I really cant figure it out. I tries using the Sum of series formula and arithmetic series formula, but no results. - February 1st 2009, 12:42 AMMoo
- February 1st 2009, 12:59 AMmilan
I know all that, but i dont know how to find the answer using it:P, thanx anyways though.

- February 1st 2009, 01:08 AMMoo
Substituting and in , you have :

Now substituting in , you get :

We know that a+k=-3.

Hence and furthermore, , so :

So

If , then and

If , then ......................

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