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A= 52 /1.6 + 52 /6.11 +...+ 52 /26.31
..
=> A= 5.( 5/ 1.6 + 5/ 6.11 +...+ 5 /26.31)
=> A= 5.( 1- 1/6 + 1/6 - 1/11 +...+ 1/26 - 1/31)
=> A= 5.( 1 - 1/31 )
=> A= 5. 30/31 = 150/31 > 1
_ (1+51)+(6+46)+(11+41)+(16+36)+(21+31)+26
= 52+52+52+52+52+26= 52 x 5+26= 286
_ 5 . ( 5 / 1.6+ 5/ 6.11+ 5/ 11.16+.... + 5/ 26.31)
=5. ( 1/1- 1/6+1/6 -1/11+ 1/11-1/16 +....+1/26-1/31)
= 5. ( 1/1 - 1/31)
= 5. 30/31= 150/31
câu a thì nguyễn thị kim phụng giải đúng rồi còn câu b mình nghĩ cậu ấy làm sai mình sẽ làm lại
b)=5.(5/1.6+5/6.11+5/11.16+5/16.21+5/21.26+5/26.31
=5.(5/1-5/6+5/6-5/11+5/11-5/16+5/16-5/21+5/21-5/26+5/26-5/31)
=5.(5-5/31)
=5.150/31
=750/31
\(\frac{5^2}{1\cdot6}+\frac{5^2}{6\cdot11}+...+\frac{5^2}{26\cdot31}\)
\(=\frac{25}{1\cdot6}+\frac{25}{6\cdot11}+...+\frac{25}{26\cdot31}\)
\(=5\left[\frac{5}{1\cdot6}+\frac{5}{6\cdot11}+...+\frac{5}{26\cdot31}\right]\)
\(=5\left[1-\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+...+\frac{1}{26}-\frac{1}{31}\right]\)
\(=5\left[1-\frac{1}{31}\right]=5\cdot\frac{30}{31}=\frac{150}{31}\)
\(\frac{5^2}{1.6}+\frac{5^2}{6.11}+...+\frac{5^2}{26.31}\)
= \(5.\left(1-\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+...+\frac{1}{26}-\frac{1}{31}\right)\)
= \(5.\left(1-\frac{1}{31}\right)\)
= \(5.\frac{30}{31}\)
= \(\frac{150}{31}\)
C=5(5/1.6+5/6.11+...+5/26.31)
C=5(1-1/6+1/6-1/11+...+1/26-1/31)
C=5(1-1/31)
C=5.30/31
C=150/31
CHÚC BẠN HỌC TỐT!!!
S:5=\(\frac{5}{1.6}+\frac{5}{6.11}+...+\frac{5}{21.26}\)
S:5=\(\frac{6-1}{1.6}+\frac{11-6}{6.11}+...+\frac{26-21}{21.26}\)
S:5=\(\frac{6}{1.6}-\frac{1}{1.6}+\frac{11}{6.11}-\frac{6}{6.11}+...+\frac{26}{21.26}-\frac{21}{21.26}\)
S:5=1-\(\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+....+\frac{1}{21}-\frac{1}{26}\)
S:5=1-\(\frac{1}{26}\)
S:5=\(\frac{25}{26}\)
S=\(\frac{25}{26}.5\)
S=\(\frac{125}{26}\)
Ta có : \(\frac{5^2}{1.6}+\frac{5^2}{6.11}+\frac{5^2}{11.16}+.....+\frac{5^2}{26.31}\)
\(=5\left(\frac{5}{1.6}+\frac{5}{6.11}+\frac{5}{11.16}+....+\frac{5}{26.31}\right)\)
\(=5\left(1-\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+....+\frac{1}{26}-\frac{1}{31}\right)\)
\(=5\left(1-\frac{1}{31}\right)=5.\frac{30}{31}=\frac{150}{31}\)
Ta có :
\(\frac{5^2}{1.6}+\frac{5^2}{6.11}+\frac{5^2}{11.16}+...+\frac{5^2}{46.51}\)
\(=\)\(5\left(\frac{5}{1.6}+\frac{5}{6.11}+\frac{5}{11.16}+...+\frac{5}{46.51}\right)\)
\(=\)\(5\left(\frac{1}{1}-\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+\frac{1}{11}-\frac{1}{16}+...+\frac{1}{46}-\frac{1}{51}\right)\)
\(=\)\(5\left(1-\frac{1}{51}\right)\)
\(=\)\(5.\frac{50}{51}\)
\(=\)\(\frac{250}{51}\)
Chúc bạn học tốt ~
A=52/1.6+52/6.11+....+52/26.31
A=5.(5/1.6+5/6.11+....+5/26.31)
A>5/1.6+5/6.11+...+5/26.31
A>1-1/6+1/6-1/11+...+1/26-1/31
a>1-1/31>1
VẬY A>1