\(\frac{20}{8\cdot14}+\frac{20}{14\cdot20}+\frac{20}{20\cdot26}+\frac{20}{26\cdot32}\)\(\Rightarrow\frac{10}{3}\left(\frac{6}{8\cdot14}+\frac{6}{14\cdot20}+\frac{6}{20\cdot26}+\frac{6}{26+32}\right)\)

\(M=\frac{10}{3}\left(\frac{1}{8}-\frac{1}{14}+\frac{1}{14}-\frac{1}{20}+\frac{1}{20}-\frac{1}{26}+\frac{1}{26}-\frac{1}{32}\right)\)\(\Rightarrow M=\frac{10}{3}\left(\frac{1}{8}-\frac{1}{32}\right)=\frac{10}{3}\cdot\frac{3}{32}=\frac{10}{32}\)

k cho mình nha!

\(S=3+\frac{3}{2^2}+\frac{3}{2^3}+...+\frac{3}{2^9}\)=> \(2S=6+\frac{3}{2}+\frac{3}{2^2}+...+\frac{3}{2^8}\)

=>\(2S-S=\left(6+\frac{3}{2}+\frac{3}{2^2}+...+\frac{3}{2^8}\right)-\left(3+\frac{3}{2^2}+\frac{3}{2^3}+...+\frac{3}{2^9}\right)\)

=>\(S=3+\frac{3}{2}-\frac{3}{2^9}\) tự tính nốt

M=20/112+20/280+20/520+20/832

M=20/8.14+20/14.20+20/26.20+20/26.32

M=20/6.(6/8.14+6/14.20+6/20.26+6/26.32)

M=20/6.(1/8-1/14+1/14-1/20+1/20-1/26+1/26-1/32)

M=20/6.(1/8-1/32)

M=20/6.3/32

M=5/16

\(M=\frac{20}{112}+\frac{20}{280}+\frac{20}{520}+\frac{20}{832}\)

\(M=\frac{20}{8.14}+\frac{20}{14.20}+\frac{20}{20.26}+\frac{20}{26.32}\)

\(M=\frac{20}{6}\left(\frac{6}{8.14}+\frac{6}{14.20}+\frac{6}{20.26}+\frac{6}{26.32}\right)\)

\(M=\frac{10}{3}.\left(\frac{1}{8}-\frac{1}{14}+\frac{1}{14}-\frac{1}{20}+\frac{1}{20}-\frac{1}{26}+\frac{1}{26}-\frac{1}{32}\right)\)

\(M=\frac{10}{3}.\left(\frac{1}{8}-\frac{1}{32}\right)\)

\(M=\frac{10}{3}.\left(\frac{4}{32}-\frac{1}{32}\right)\)

\(M=\frac{10}{3}.\frac{3}{32}\)

\(M=\frac{5}{16}\)

Chúc bạn học tốt !!!! 

Ta có:

\(M=\frac{20}{112}+\frac{20}{280}+\frac{20}{520}+\frac{20}{832}=\frac{20}{8.14}+\frac{20}{14.20}+\frac{20}{20.26}+\frac{20}{26.32}\)

\(\Rightarrow M=20\left(\frac{1}{8.14}+\frac{1}{14.20}+\frac{1}{20.26}+\frac{1}{26.32}\right)\)

\(\Rightarrow M=\frac{20}{6}\left(\frac{6}{8.14}+\frac{6}{14.20}+\frac{6}{20.26}+\frac{6}{26.32}\right)\)

\(\Rightarrow M=\frac{10}{3}\left(\frac{1}{8}-\frac{1}{14}+\frac{1}{14}-\frac{1}{20}+\frac{1}{20}-\frac{1}{26}+\frac{1}{26}-\frac{1}{32}\right)\)

\(\Rightarrow M=\frac{10}{3}.\left(\frac{1}{8}-\frac{1}{32}\right)\)

\(\Leftrightarrow M=\frac{10}{3}.\frac{3}{32}=\frac{5}{16}\)

Vậy \(M=\frac{5}{16}\)

là sao bạn ?

Tính M à bạn ?

\(M=\frac{20}{8.14}+\frac{20}{14.20}+\frac{20}{20.26}+\frac{20}{26.32}\)

\(M=\frac{20}{6}\left(\frac{6}{8.14}+\frac{6}{14.20}+\frac{6}{20.26}+\frac{6}{26.32}\right)\)

\(M=\frac{20}{6}\left(\frac{1}{8}-\frac{1}{14}+\frac{1}{14}-\frac{1}{20}+\frac{1}{20}-\frac{1}{26}+\frac{1}{26}-\frac{1}{32}\right)\)

\(M=\frac{20}{6}\left(\frac{1}{8}-\frac{1}{32}\right)\)

\(M=\frac{20}{6}.\frac{3}{32}\)

\(M=\frac{5}{16}\)

k nha

\(M=\frac{5}{28}+\frac{5}{70}+\frac{5}{130}+\frac{5}{208}\)

\(M=\frac{5}{3}\cdot\left(\frac{3}{4\cdot7}+\frac{3}{7\cdot10}+\frac{3}{10\cdot13}+\frac{3}{13\cdot16}\right)\)

\(M=\frac{5}{3}\cdot\left(\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}...\frac{1}{13}-\frac{1}{16}\right)\)

\(M=\frac{5}{3}\cdot\left(\frac{1}{4}-\frac{1}{16}\right)\)

\(M=\frac{5}{3}\cdot\frac{3}{16}\)

\(M=\frac{5}{16}\)

M=20x (1/112+1/280+1/520+1/832)

M=20x (1/(8x14)+1/(14x20)+1/(20x26)+1/(26x32))

M=20×(1/8-1/14+1/14-1/20+1/20-1/26+1/26-1/32)

M=20x (1/8-1/32)

M=20x3/32=15/8

a, \(\frac{51}{60};\frac{52}{60};\frac{41}{60}\)

b, \(\frac{1}{3};\frac{1}{2};\frac{11}{12}=\frac{4}{12};\frac{6}{12};\frac{11}{12}\)

trả lời

a)51/60;52/60;41/60

b)4/12;6/12;11/12

a) \(\frac{51}{60}\); \(\frac{52}{60}\); \(\frac{41}{60}\)

b) \(\frac{4}{12}\); \(\frac{6}{12}\); \(\frac{11}{12}\)

560/100

bn ơi phải ra là 5/16 

P=20/112+20/280+20/520+20/832

P=20/8.14+20/14.20+20/20.26+20/26.32

P=10/3.(1/8-1/14+1/14-1/20+1/20-1/26+1/26-1/32)

P=10/3.(1/8-1/32)

P=10/3.(4/32-1/32)

P=10/3.3/32

P=5/16