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Math Help - Quadratic [formula of tn, etc]

  1. #1
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    Question Quadratic [formula of tn, etc]

    Hey everyone, this is my first post so I'm sorry if it's a little scattered.
    We're doing quadratic sequences in class right now.
    For one of my homework questions, we're asked :
    Given the following information find the formula for tn.
    t1=5, t3=25
    So i'm a little confused on how to go about solving this.
    Any help would be greatly appreciated.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by brittt-- View Post
    Hey everyone, this is my first post so I'm sorry if it's a little scattered.
    We're doing quadratic sequences in class right now.
    For one of my homework questions, we're asked :
    Given the following information find the formula for tn.
    t1=5, t3=25
    So i'm a little confused on how to go about solving this.
    Any help would be greatly appreciated.
    you need at least three points to make a quadratic. there are perhaps several answers that can fit this
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  3. #3
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    So there's no way I could get a basic tn formula from just the two values?
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by brittt-- View Post
    So there's no way I could get a basic tn formula from just the two values?
    of course there are ways. in fact, that's the problem, there would be too many answers. for one answer you could get t_n = \frac 52 n^2 + \frac 52

    we get this by making the quadratic of the form t_n = at^2 + b and then solving for a and b in two simultaneous equations using the points (1,5) and (3,25)

    we could get another answers by trying t_n = an^2 + bn for instance
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