Question by Cristiano Ronaldo - Discuss with MathYouLike

Cristiano Ronaldo

19/03/2017 at 10:51

Evaluate 2000 x \(\left(1+\dfrac{1}{2}\right)\)x\(\left(1+\dfrac{1}{3}\right)\)x\(\left(1+\dfrac{1}{4}\right)\)x...x\(\left(1+\dfrac{1}{2000}\right)\)

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FA KAKALOTS 03/02/2018 at 12:45

2000(1+12)(1+13)(1+14)...(1+12000)

=2000.32.43.54....20012000=2000.20012

= 1000.2001 = 2001000
Phan Thanh Tinh Coordinator 23/03/2017 at 18:05

\(2000\left(1+\dfrac{1}{2}\right)\left(1+\dfrac{1}{3}\right)\left(1+\dfrac{1}{4}\right)...\left(1+\dfrac{1}{2000}\right)\)

\(=2000.\dfrac{3}{2}.\dfrac{4}{3}.\dfrac{5}{4}....\dfrac{2001}{2000}=2000.\dfrac{2001}{2}\)= 1000.2001 = 2001000

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