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Math Help - product problem

  1. #1
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    product problem

    S is the set of all fractions of the form n/(n+1), Where n is a positive integer less than 20.. Than what is the product of all the fractions that are in S.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by saroja View Post
    S is the set of all fractions of the form n/(n+1), Where n is a positive integer less than 20.. Than what is the product of all the fractions that are in S.
    \prod_{n = 1}^{19}\frac n{n + 1} = \frac 12 \cdot \frac 23 \cdot \frac 34 \cdot \frac 45 \cdot \cdots \frac {19}{20} = \frac 1{20} (since everything cancels, except the 1 in the numerator of the first fraction and the 20 in the denominator of the last fraction)
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  3. #3
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    thanks

    Hi..Thanks man....

    I thought that there is a formulea...And i am thinking it as some progression...

    Any way thanku so much
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