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Math Help - Find general term un

  1. #1
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    Find general term un

    find the formula for Un, the genereal term of (2/3) , (4/5) , (6/7) , (8/9)
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  2. #2
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    Quote Originally Posted by peachgal View Post
    find the formula for Un, the genereal term of (2/3) , (4/5) , (6/7) , (8/9)
    Dear peachgal,

    Let me give you an idea, the denominator is always one greater than the numerator. (i.e: Numerator+1=Denominator) Therefore when you are writing the general term if the numerator is n then the denominator should be n+1. Now consider what the first term of the sequence is, that is when n=1 the numerator and denominator must be 2 and 3 respectively.

    Hope you can continue.
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  3. #3
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    Hello, peachgal!

    Another view of the sequence . . .


    Find the formula for U_n, the genereal term of: . \frac{2}{3},\;\frac{4}{5},\;\frac{6}{7},\;\frac{8}  {9},\;\hdots

    The numerators are even numbers:

    . . 2,\;4,\;6,\;8 \;\hdots\; 2n


    The denominators are one more than the numerators:

    . . 3,\;5,\;7,\;9\;\cdots\; 2n+1


    Got it?

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