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Question Number 90100 by ar247 last updated on 21/Apr/20

Answered by john santu last updated on 21/Apr/20

$$letw=\underset{y=2}{\prod ^{2020}}\frac{(y-1)(y+1)}{y^2}$$$$w=\left(\frac{1}{2}\times \frac{3}{2}\right)\left(\frac{2}{3}\times \frac{4}{3}\right)\left(\frac{3}{4}\times \frac{5}{4}\right)\times ...\times$$$$\left(\frac{2018}{2019}\times \frac{2020}{2019}\right)\left(\frac{2019}{2020}\times \frac{2021}{2020}\right)$$$$w=\frac{2021}{2\times 2020}=\frac{2021}{4040}$$

Commented by Joel578 last updated on 21/Apr/20

$$Ithinkitshouldbe\frac{2021}{2\times 2020}=\frac{2021}{4040}$$

Commented by john santu last updated on 21/Apr/20

$$oyes.thank$$

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