Arithmetic Sequences Problem

*"Find three consecutive terms of an arithmetic sequence if their sum is 3 and their product is -15"*

I know the answer is -3,1,5 but I pretty much just guessed that on a fluke. What is the method of answering this question? I don't think I'll get the marks unless I use a method of some sort :(

Re: Arithmetic Sequences Problem

Let , , and be the three consecutive terms, where is the common difference. Set up simultaneous equations for and .

Re: Arithmetic Sequences Problem

Quote:

Originally Posted by

**Quacky** Let

,

, and

be the three consecutive terms, where

is the common difference. Set up simultaneous equations for

and

.

Thanks! It makes sense now :)