Tôi thi còn mỗi môn toán ngày mai nên tôi vào đây luyện tập giải toán 

# USAS - 12 # 

\(\frac{10}{56}+\frac{10}{140}+\frac{10}{260}+...+\frac{10}{1400}\)

đặt:\(S=\frac{10}{56}+\frac{10}{140}+\frac{10}{260}+...+\frac{10}{1400}\)

\(S=\frac{5}{28}+\frac{5}{70}+\frac{5}{130}+...+\frac{5}{700}\)

\(3S=\frac{3}{4.7}+\frac{3}{7.10}+\frac{3}{10.13}+...+\frac{3}{25.28}\)

\(\frac{3S}{5}=\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+\frac{1}{10}-...+\frac{1}{25}-\frac{1}{28}\)

\(\frac{3S}{5}=\frac{1}{4}-\frac{1}{28}\)

\(\frac{3S}{5}=\frac{3}{14}\)

\(S=\frac{3}{14}\times\frac{5}{3}\)

\(S=\frac{5}{14}\)

Avatar giống nhau nè ^^

sakura

Tính nhanh:

  a) 56 x 44 + 56 x 11 + 56 x 45

= 56 x ( 44 + 11 + 45 )

= 56 x 100

= 5600 

b) 8 x 3 + 8 x 6 + 8

= 8 x ( 3 +  6 + 1 ) 

= 8 x 10

= 80

^^ Học tốt!!!

a, 56 x 44 + 56 x 11 + 56 x 45

= 56 x ( 44 + 11 + 45 )

= 56 x 100

= 5600

b, 8 x 3 + 8 x 6 + 8

= 8 x ( 3 + 6 + 1 )

= 8 x 10

= 80

a,5600

b,80

Mình sẽ đổi.

* x+23=56

     x   =56-23

     x   =33

* x+1223=45

x           =45-1223

x           =-1178

x + 23 = 56

\(\Leftrightarrow\)x = 56 - 23 = 33

x + 1223 = 45

\(\Leftrightarrow\)x = 45 - 1223 = -1178

x1=33

x2=-1178

78 - 29 + 45 + 65 - 59 + 45 + 2 - 56 +98 - 78 + 85 - 65 + 21 + 20 - 74 =98

78 - 29 + 45 + 65 - 59 + 45 + 2 - 56 +98 - 78 + 85 - 65 + 21 + 20 - 74 =

78 - 29 + 45 + 65 - 59 + 45 + 2 - 56 +98 - 78 + 85 - 65 + 21 + 20 - 74 =

1/89 x 1/56 = 1/4984 

tk mk nha bn

=1/4984 nhà mình làm nhanh nhất nha

\(\frac{1}{4984}\)

24+56+45+102+55*34-1289=808

Sone Snsd

24 + 56 + 45 + 102 + 55 x 34 - 1289 = 808

243 nha

243

tk và kb nha,thanks

89 + 98 + 56 = 243 

tk giúp mk nha ạ!

X + 56 = 76

       X = 76 - 56

       X = 20

x + 56 = 76

x         = 76 - 56

x         =  20

\(A=\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^{100}}\)

\(3A=1+\frac{1}{3}+\frac{1}{3^2}+...+\frac{1}{3^{99}}\)

\(3A-A=\left(1+\frac{1}{3}+\frac{1}{3^2}+...+\frac{1}{3^{99}}\right)-\left(\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^{100}}\right)\)

\(2A=1-\frac{1}{3^{100}}\)

\(A=\frac{1-\frac{1}{3^{100}}}{2}\)

\(B=\frac{10}{56}+\frac{10}{140}+\frac{10}{260}+...+\frac{10}{1400}\)

\(B=\frac{5}{28}+\frac{5}{70}+\frac{5}{130}+...+\frac{5}{700}\)

\(B=\frac{5}{4.7}+\frac{5}{7.10}+\frac{5}{10.13}+...+\frac{5}{25.28}\)

\(3B=\frac{5.3}{4.7}+\frac{5.3}{7.10}+\frac{5.3}{10.13}+...+\frac{5.3}{25.28}\)

\(3B=5\left(\frac{3}{4.7}+\frac{3}{7.10}+\frac{3}{10.13}+...+\frac{3}{25.28}\right)\)

\(3B=5\left(\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+\frac{1}{10}-\frac{1}{13}+...+\frac{1}{25}-\frac{1}{28}\right)\)

\(3B=5\left(\frac{1}{4}-\frac{1}{28}\right)\)

\(3B=5\cdot\frac{3}{14}=\frac{15}{14}\)

\(B=\frac{15}{14}:3=\frac{5}{14}\)

a) \(A=\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^{100}}\)

\(3A=1+\frac{1}{3}+\frac{1}{3^2}+...+\frac{1}{3^{99}}\)

\(3A-A=\left(1+\frac{1}{3}+\frac{1}{3^2}+...+\frac{1}{3^{99}}\right)-\left(\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^{100}}\right)\)

\(2A=1-\frac{1}{3^{100}}\)

\(\Rightarrow A=\frac{1-\frac{1}{3^{100}}}{2}\)

b)  \(B=\frac{10}{56}+\frac{10}{140}+\frac{10}{260}+...+\frac{10}{1400}\)

\(B=\frac{5}{28}+\frac{5}{70}+\frac{5}{130}+...+\frac{5}{700}\)

\(B=\frac{5}{4.7}+\frac{5}{7.10}+\frac{5}{10.13}+...+\frac{5}{25.28}\)

\(B=\frac{5}{3}.\left(\frac{1}{4}-\frac{1}{7}\right)+\frac{5}{3}.\left(\frac{1}{7}-\frac{1}{10}\right)+\frac{5}{3}.\left(\frac{1}{10}-\frac{1}{13}\right)+...+\frac{5}{3}.\left(\frac{1}{25}-\frac{1}{28}\right)\)

\(B=\frac{5}{3}.\left(\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+\frac{1}{10}-\frac{1}{13}+...+\frac{1}{25}-\frac{1}{28}\right)\)

\(B=\frac{5}{3}.\left(\frac{1}{4}-\frac{1}{28}\right)\)

\(B=\frac{5}{3}.\frac{3}{14}\)

\(\Rightarrow B=\frac{5}{14}\)

\(A=\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^{100}}\)

\(3A=1+\frac{1}{3}+\frac{1}{3^2}+...+\frac{1}{3^{99}}\)

\(3A-A=1-\frac{1}{3^{100}}\)\(\Rightarrow2A=\left(1-\frac{1}{3^{100}}\right)\Rightarrow A=\frac{1}{2}\times\left(1-\frac{1}{3^{100}}\right)\)