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26 tháng 11 2021

Answer:

\(\left(1+\frac{8}{10}\right).\left(1+\frac{8}{22}\right).\left(1+\frac{8}{36}\right)...\left(1+\frac{8}{8352}\right)\)

\(=\frac{18}{10}.\frac{30}{22}.\frac{44}{36}...\frac{8360}{8352}\)

\(=\frac{2.9.3.10.4.11....88.95}{1.10.2.11.3.12...87.96}\)

\(=\frac{\left(2.3.4...8\right).\left(9.10.11...95\right)}{\left(1.2.3...87\right).\left(10.11...96\right)}\)

\(=\frac{9.88}{96}\)

\(=\frac{3}{4}\)

21 tháng 1 2018

G=(1+8/10)(1+8/22)(1+8/36)...(1+8/8352)

       18.30.44...8360

G=----------------------------

        10.22.36...8352

       9.2.10.3.11.4...95.88

G=-----------------------------------

      10.1.11.2.12.3...96.87

        (9.10.11...95)(2.3.4....88)

G=  -----------------------------------------

        (10.11.12...96)(2.3.4...87)

       9.88.     

G= ---------= 33/4.

       96

21 tháng 1 2018

ha ha ha thanks 

19 tháng 5 2017

2A=2+2^2+2^3-2^4+...+2^2017

2A+A=2+1+2^2+2+2^2+2^3-2^3+2^4-2^4+...+2^2017-2^2016

3A=1+2^2+2^3+2^2017

A=(1+2^2+2^3+2^2017)/3

Minh giai 1 bai thoi nha 

Nho k cho minh voi

19 tháng 5 2017

a) \(A=1-2+2^2-2^3+2^4-2^5+.................+2^{2016}\)

\(\Rightarrow2A=2\left(1-2+2^2-2^3+2^4-2^5+............+2^{2016}\right)\)

\(\Rightarrow2A=2-2^2+2^3-2^4+2^5-2^6+...........+2^{2017}\)

\(\Rightarrow2A-A=\left(2-2^2+2^3-2^4+.........+2^{2016}\right)-\left(1-2+2^3+2^4-2^5+.....+2^{2017}\right)\)\(\Rightarrow A=2^{2017}-1\)

Câu a xong đã, câu b tính sau :P

10 tháng 1 2022

\(1.\) \(\dfrac{7}{36}-\dfrac{8}{-9}+\dfrac{-2}{3}=\dfrac{7}{36}+\dfrac{8}{9}-\dfrac{2}{3}=\dfrac{7+32-24}{36}=\dfrac{5}{12}.\)

\(2.\) \(\dfrac{-1}{2}+\dfrac{3}{7}-\dfrac{1}{9}+\dfrac{-7}{18}+\dfrac{4}{7}=\dfrac{-9-2-7}{18}+\dfrac{4+3}{7}=\dfrac{-18}{18}+\dfrac{7}{7}=-1+1=0.\)

\(3.\) \(-\dfrac{10}{3}+\dfrac{13}{10}-\dfrac{1}{6}+\dfrac{1}{10}=\dfrac{13+1}{10}+\dfrac{-20-1}{6}=\dfrac{14}{10}+\dfrac{-21}{6}=\dfrac{7}{5}-\dfrac{7}{2}=-\dfrac{21}{10}.\)

\(4.\) \(\dfrac{10}{17}-\dfrac{5}{13}-\left(-\dfrac{7}{17}\right)-\dfrac{8}{13}+\dfrac{11}{25}=\dfrac{10+7}{17}+\dfrac{-5-8}{13}+\dfrac{11}{25}=\dfrac{17}{17}-\dfrac{13}{13}+\dfrac{11}{25}=\dfrac{11}{25}.\)