# Math Help - Arithmetic Sequences Problem

1. ## 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

2. ## Re: Arithmetic Sequences Problem

Let $a$, $(a+d)$, and $(a+2d)$ be the three consecutive terms, where $d$ is the common difference. Set up simultaneous equations for $a$ and $d$.

3. ## Re: Arithmetic Sequences Problem

Originally Posted by Quacky
Let $a$, $(a+d)$, and $(a+2d)$ be the three consecutive terms, where $d$ is the common difference. Set up simultaneous equations for $a$ and $d$.
Thanks! It makes sense now