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Math Help - How to find the formula of this sequence:

  1. #1
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    How to find the formula of this sequence:

    3/4, 1 , 7/6 , 9/7
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  2. #2
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    Hello, juliak!

    Sequence: . \frac{3}{4},\;1,\;\frac{7}{6},\;\frac{9}{7},\;\hdo  ts
    Write all of them as fractions . . .

    We have: . \frac{3}{4},\;\frac{5}{5},\;\frac{7}{6},\;\frac{9}  {7},\;\hdots

    Got it?
    The denominators are consecutive integers starting at 4: . n+3
    The numerators are consecutive odd integers starting at 3: . 2n+1


    The general term is: . a_n \;=\;\frac{2n+1}{n+3}

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