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    endlesslove230's Avatar
    endlesslove230 Posts: 52, Reputation: 2
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    #1

    Oct 23, 2011, 06:26 AM
    How to find the general term of the series
    - the fist term
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #2

    Oct 24, 2011, 12:17 AM
    I think there is a mistake in the problem you typed...

    Is that:



    ?
    endlesslove230's Avatar
    endlesslove230 Posts: 52, Reputation: 2
    Junior Member
     
    #3

    Oct 24, 2011, 11:50 AM
    Oh, sorry, I should have paid more attention

    endlesslove230's Avatar
    endlesslove230 Posts: 52, Reputation: 2
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    #4

    Oct 24, 2011, 11:51 AM
    n+1 is meant to be subscript, but I don't know how to to write it.
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #5

    Oct 24, 2011, 12:25 PM
    Your sequence goes like this:

    -1, -2, -5, -14, -41, -122...

    Here's an identity that can help you get started:



    For your problem set x = 3. This gives the sequence: 1, 4, 13, 40, 121, etc. Can you see how to modify this to get your sequence?

    And to get subscripts in LaTex: enclose the item in squiggly brackets if it's more than one character. Same trick applies to superscripts too. Hence use C_{n+1} = 3C_n +1

    to produce:


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