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-   -   How do you write the equation for this sequence 3, -6, 12, -24? (https://www.askmehelpdesk.com/showthread.php?t=432025)

  • Jan 6, 2010, 02:52 AM
    geelo
    how do you write the equation for this sequence 3, -6, 12, -24?
    I have an assignment and this is to find the equation of the sequence 3, -6, 12, -24? Please help me! Thanks
  • Jan 6, 2010, 02:57 AM
    Curlyben
    What do you think the pattern is ?
  • Jan 6, 2010, 03:25 AM
    geelo
    multiplying the preceding term by -2 to get the next term... but what is the equation?
  • Jan 6, 2010, 03:28 AM
    Curlyben
    Well you've got it,
    so
  • Jan 6, 2010, 10:20 AM
    Unknown008

    Well, the general way to write the 'general solution of a sequence' of this type (geometric progression) is that way:



    where n is the n th term (for example T1 is first term, T2 second term, etc)
    a is the first term
    r is the common ratio

    Well, you have Equations setting up:




    Those are enough to give the formula:



    Anyway, that's how you do it in higher classes if ever I made a wrong guess on your math level.
  • Jan 14, 2010, 03:39 AM
    geelo
    Quote:

    Originally Posted by Unknown008 View Post
    Well, the general way to write the 'general solution of a sequence' of this type (geometric progression) is that way:



    where n is the n th term (for example T1 is first term, T2 second term, etc)
    a is the first term
    r is the common ratio

    Well, you have Equations setting up:




    Those are enough to give the formula:



    Anyway, that's how you do it in higher classes if ever I made a wrong guess on your math level.

    thanks you very much for the equation...
    have a nice day!
    god bless! :)
  • Jan 15, 2010, 12:02 PM
    Unknown008

    You're welcome! :)

    God bless too :)

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