Question

giúp mình với các bạn ơi

tính S=\(\frac{2016}{5}+\frac{2016}{10}+\frac{2016}{30}+.......+\frac{2016}{47530}+\frac{2016}{48150}\)

Answer 1

de vay ma khong biet

Answer 2

Ta có \(S=\frac{2016}{5}+\frac{2016}{10}+\frac{2016}{30}+...+\frac{2016}{47530}+\frac{2016}{48150}\)

             \(=\frac{2016}{5}.\left(\frac{1}{1}+\frac{1}{2}+\frac{1}{6}+...+\frac{1}{9506}+\frac{1}{9630}\right)\)

             \(=\frac{2016}{5}.\left(\frac{1}{1}+\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{97.98}+\frac{1}{98.99}\right)\)

              \(=\frac{2016}{5}.\left(\frac{1}{1}+\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{97}-\frac{1}{98}+\frac{1}{98}-\frac{1}{99}\right)\)

                \(=\frac{2016}{5}.\left(1+1-\frac{1}{99}\right)\)

                 \(=\frac{2016}{5}.\frac{197}{99}\)

                  \(=\frac{44128}{55}\)

Answer 3

cảm ơn nha