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Math Help - rewriting a geometric sequence formula to solve for 'n'

  1. #1
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    rewriting a geometric sequence formula to solve for 'n'

    The question is...
    Rewrite the equation tn=ar^n-1 to solve for 'n'
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  2. #2
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    Quote Originally Posted by stlawrenceriver View Post
    The question is...
    Rewrite the equation tn=ar^n-1 to solve for 'n'
    What is t_n?
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  3. #3
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    that's the problem, there is no value for tn
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    Quote Originally Posted by stlawrenceriver View Post
    The question is...
    Rewrite the equation tn=ar^n-1 to solve for 'n'
    t_n = ar^{n - 1}

    \Rightarrow r^{n - 1} = \frac {t_n}{a}

    \Rightarrow ln \left( r^{n - 1} \right) = ln \left( \frac {t_n}{a} \right)

    \Rightarrow (n - 1) ln(r) = ln \left( \frac {t_n}{a} \right)

    \Rightarrow n = \frac {ln \left( \frac {t_n}{a} \right) }{ln(r)} + 1
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by ThePerfectHacker View Post
    What is t_n?
    i think t_n just represents any arbitrary term of the geometric sequence \left ( t_n \right)
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  6. #6
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    Thank you so much for the help, now I know what I'm doing.
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