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What is the sum of A and B if \(\frac{3}{2}\cdot\frac{4}{3}\cdot\frac{5}{4}\cdot\frac{6}{5}\cdot\ldots\cdot\frac{a}{b}=9\)

 Dec 29, 2021
 #1
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Notice that the numerator of each term cancels with the denominator of the next term, so that overall you are left with \(\frac{a}{2}=9\)

 

Hence a = 18.  The denominator of each term is just 1 less than the numerator, so b = a-1 = 17.

 Dec 29, 2021
 #2
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Thank you so much Alan

 Dec 29, 2021

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