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Math Help - Arithmetic Sequences Problem

  1. #1
    Newbie MalevolentSpoon's Avatar
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    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
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  2. #2
    Super Member Quacky's Avatar
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    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.
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  3. #3
    Newbie MalevolentSpoon's Avatar
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    Re: Arithmetic Sequences Problem

    Quote Originally Posted by Quacky View Post
    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
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