\(A=\frac{1}{1\cdot2}+\frac{2}{2\cdot4}+\frac{3}{4\cdot7}+\frac{4}{7\cdot11}+...+\frac{10}{46\cdot56}\)

\(A=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+...+\frac{1}{46}-\frac{1}{56}\)

\(A=1-\frac{1}{56}\)

\(A=\frac{55}{56}\)

\(B=\frac{4}{3\cdot7}+\frac{4}{7\cdot11}+\frac{4}{11\cdot15}+...+\frac{4}{23\cdot27}\)

\(B=\frac{1}{3}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+\frac{1}{11}-\frac{1}{15}+...+\frac{1}{23}-\frac{1}{27}\)

\(B=\frac{1}{3}-\frac{1}{27}\)

\(B=\frac{8}{27}\)

\(C=\frac{4}{3\cdot6}+\frac{4}{6\cdot9}+\frac{4}{9\cdot12}+...+\frac{4}{99\cdot102}\)

\(C=\frac{4}{3}\left(\frac{3}{3\cdot6}+\frac{3}{6\cdot9}+\frac{3}{9\cdot12}+...+\frac{3}{99\cdot102}\right)\)

\(C=\frac{4}{3}\left(\frac{1}{3}-\frac{1}{6}+\frac{1}{6}-\frac{1}{9}+\frac{1}{9}-\frac{1}{12}+...+\frac{1}{99}-\frac{1}{102}\right)\)

\(C=\frac{4}{3}\left(\frac{1}{3}-\frac{1}{102}\right)\)

\(C=\frac{4}{3}\cdot\frac{33}{102}\)

\(C=\frac{22}{51}\)

Các bạn giải giúp mình nha😐

\(P=\frac{1}{1.2}+\frac{2}{2.4}+\frac{3}{4.7}+...+\frac{10}{46.56}\)

\(P=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+...+\frac{1}{46}-\frac{1}{56}\)

\(P=1-\frac{1}{56}\)

\(P=\frac{55}{56}\)

\(A=\frac{2}{1\cdot4}+\frac{2}{4\cdot7}+\frac{2}{7\cdot10}+...+\frac{2}{43\cdot46}\)

\(A=\frac{2}{3}\left(\frac{1}{1\cdot4}+\frac{1}{4\cdot7}+\frac{1}{7\cdot10}+...+\frac{1}{43\cdot46}\right)\)

\(A=\frac{2}{3}\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+...+\frac{1}{43}-\frac{1}{46}\right)\)

\(A=\frac{2}{3}\left(1-\frac{1}{46}\right)=\frac{2}{3}\cdot\frac{45}{46}=\frac{15}{23}\)

Cảm ơn bạn Sasuke nhé.

( x + 1/3 - 1/4 ) : ( 2 + 1/6 - 1/4 ) = 7/46

( x + 1/3 - 1/4 ) : ( 13/6 - 1/4 ) = 7/46

( x + 1/3 - 1/4 ) : 23/12 = 7/46

x + 1/3 - 1/4 = 7/46 x 23/12

x + 1/3 - 1/4 = 7/24

x + 1/3 = 7/24 + 1/4

x + 1/3 = 13/24

        x = 13/24 - 1/3

        x = 5/24

(x + 1/12) : 23/12 = 7/46

(x+1/12) = 7/46 . 23/12

x + 1/12 = 7/24

x = 7/24 - 1/12

x = 5/24

A= (937.1 - 4.5) - (-4.5 + 37.1) -100

  = (937-20) - 17 -100

  = 917- 17-100

  =900-100=800

nếu câu trả lời đúng thì bạn k giùm mik nhé?!

Mik chỉ biết B=9, còn đâu chưa nghĩ ra cách lm