S = 10/56 + 10/140 + 10/260 + ....... + 10/1400

S = 5/28 + 5/70 + 5/130 + 5/700

3S/5 = 3/4 x 7 + 3/7 x 10 + 30/10 x 13 + ....... + 3/25 x 28

3S/5 = 1/4 - 1/7 + 1/7 - 1/10 + 1/10 - 1/13 + ........ + 1/25 - 1/28

3S/5 = 1/4 - 1/28

3S/5 = 3/14

S = 3/14 x 5/3

S = 5/14

Vậy S = 5/14

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

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

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

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

\(S=5.\left(\frac{1}{4.7}+\frac{1}{7.10}+\frac{1}{10.13}+...+\frac{1}{25.28}\right)\)

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

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

\(S=5.\frac{3}{14}=\frac{15}{14}\)

Vậy \(S=\frac{15}{14}\)

thank 2 bạn nha!

S= 10/56+10/140+.....+10/1400

S= 5/28+5/70+.....+5/700

S= 5/4.7+5/7.10+......+5/25.28

S=5/3( 1/4-1/7+1/7-1/10+......+1/25-1/28)

S= 5/3.(1/4-1/28)

S= 5/3. 3/14

S= 15/42

VẬY S= 15/ 42

M=10/56+10/140+10/260+....+10/1400

M=5/28+5/70+5/130+....+5/700

3M/5=3/4.7+3/7.10+3/10.13+...+3/25.28

3M/5=1/4-1/7+1/7-1/10+1/10-1/13+....+1/25-1/28

3M/5=1/4-1/28

3M5=3/14

M=3/14.5/3

M=5/14

Vậy M=5/14

b)Vì x,y thuộc N suy ra 5^y >624 (hình như đề hơi sai, phải là 5^y mới đúng)

suy ra 5^y có chữ số tận cùng là 5

suy ra 2^x có chữ số tận cùng là 1

ta thấy nếu x=0 thì 2^x=1,nếu x>0 thì 2^x có chữ số tận cùng là chữ số chẵn

mà 2^xcó chữ số tận cùng là 1

suy ra x=0

thay vào ta có:2⁰⁺624=5^y

1+624=5^y

625=5^y

5⁴=5^y

suy ra y=4

^vậy x=0,y=4

M = 10/56 + 10/140 + 10/260 + ........+ 10/1400

M = 5/28 + 5/70 + 5/130 +..........+ 5/700

3M/5 = 3/4.7 + 3/7.10 + 3/10.13 + ..........+ 3/25.28

3M/5 = 1/4 - 1/7 + 1/7 - 1/10 + 1/10 - 1/13 + ..........+ 1/25 - 1/28

3M/5 = 1/4 - 1/28

3M/5 = 3/14

M = 3/14 . 5/3

M = 5/14

Vậy M = 5/14

Chúc bạn học tốt. Tk choi mk đi.

ai k mình thì nói cho mình biết để mình k lại

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

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

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

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

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

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

Dat A=10/56+10/140+.....+10/1400

=> A=5/28+5/70+.....+5/700

A=5/4.7+5/7.10+.....+5/25.28

3A=5/3.(1/4-1/7+1/7-1/10+.....+1/25-1/28)

3A=5/3.(1/4-1/28)

3A=5/3.3/14

3A=5/14

A=5/13:3

A=5/39    

M=5/28+5/70+5/130+...+5/700.

M=5/4*7+5/7*10+5/10*13+...+5/25*58.

3/5*M=3/4*7+3/7*10+3/10*13+...+3/25*28.

3/5*M=1/4-1/28=3/14.

M=3/14:3/5=5/14.

Vậy M=5/14.

M=5/28+5/70+5/130+.....+5/700

M=1/5x(1/4x7+1/7x10+...+1/25x28)

M=1/5x(1/4-1/7+1/7-1/10+....+1./25-1/28)

M=1/5x(1/4-1/28)

M=1/5x3/14

M=3/70

\(M=\frac{5}{28}+\frac{5}{70}+\frac{5}{130}+...+\frac{5}{700}\)
\(M=5\left(\frac{1}{4.7}+\frac{1}{7.10}+\frac{1}{10.13}+...+\frac{1}{25.28}\right)\)
\(M=5\cdot\frac{1}{3}\left(\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+...+\frac{1}{25}-\frac{1}{28}\right)\)
\(M=\frac{5}{3}\left(\frac{1}{4}-\frac{1}{28}\right)=\frac{5}{3}\cdot\frac{3}{14}=\frac{5}{14}\)

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

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

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

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

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

\(=\frac{5}{3}.\left(\frac{1}{4}-\frac{1}{28}\right)=\frac{5}{14}\)

B = 10/56 + 10/140 + 10/260 + ...+ 10/1400      

B= 5/28 + 5/70 +.....+10/700 
= 5/(4.7)+5/(7.10)+....5/(25.28) 
3B= 5( 1/4 - 1/7 +1/7-1/10+......+1/25-1/28) 
3B = 5 (1/4-1/28) 
3B=15/14 
B = 15/14 : 3 

B = 5/14

Doãn Hải Anh mk lớp 7 nên quên òi 

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

       =\(\frac{5}{3}\times\left(\frac{3}{28}+\frac{3}{70}+\frac{3}{130}+...+\frac{3}{700}\right)\)  

      =\(\frac{5}{3}\times\left(\frac{3}{4\times7}+\frac{3}{7\times10}+\frac{3}{10\times13}+...+\frac{3}{25\times28}\right)\)  

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

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

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

      =\(\frac{5}{14}\)

Ko bít có đúng ko nhưng cứ thử nhé