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