Question

[N g u y ễ n V ă n Đ ư ợ c]

Tính : 

C = \(\left(1+\frac{2}{3}\right)\). \(\left(1+\frac{2}{5}\right)\). \(\left(1+\frac{2}{7}\right)\)..... \(\left(1+\frac{2}{2009}\right)\). \(\left(1+\frac{2}{2011}\right)\)

Giúp mình nhé các bạn

Answer 1

[GPSgaming]

\(C=\left(1+\frac{2}{3}\right).\left(1+\frac{2}{5}\right).\left(1+\frac{2}{7}\right).....\left(1+\frac{2}{2009}\right).\left(1+\frac{2}{2011}\right)\)

\(C=\frac{5}{3}.\frac{7}{5}.\frac{9}{7}.....\frac{2011}{2009}.\frac{2013}{2011}\)

\(C=\frac{\left(5.7.9.....2011\right).2013}{3.\left(5.7.9.....2009.2011\right)}\)

\(C=\frac{2013}{3}\)

Answer 2

[N g u y ễ n V ă n Đ ư ợ c]

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