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8_murik_8 [283]
3 years ago
12

1-1/2 * 1-1/3 * 1-1/4* 1-1/5........1-1/999 How do you solve this?

Mathematics
2 answers:
seropon [69]3 years ago
7 0
1\dfrac{1}{2}\cdot 1\dfrac{1}{3}\cdot1\dfrac{1}{4}\cdot\ldots \cdot 1\dfrac{1}{999}=\\\\
\dfrac{3}{2}\cdot\dfrac{4}{3}\cdot\dfrac{5}{4}\cdot\ldots\cdot\dfrac{1000}{999}=\\\\
\dfrac{\dfrac{1000!}{2}}{999!}=\\\\
\dfrac{1000!}{2\cdot999!}=\\\\
\dfrac{1000}{2}=\\\\
500

masha68 [24]3 years ago
6 0

Answer: The answer would simply be 500

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