My bain can't understand..

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

SmartWater Dec 29, 2021

Alan · Answer 1 · 2021-12-29T02:34:02

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.

SmartWater · Answer 2 · 2021-12-29T02:34:29

Thank you so much Alan