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1/20 + 1/30 + 1/42 + ... + 1/156
= 1/4.5 + 1/5.6 + 1/6.7 + .... + 1/12.13
= 1/4 - 1/5 + 1/5 - 1/6 + 1/6 - 1/7 + ... + 1/12 - 1/13
= 1/4 - 1/13
= 9/52
1/20 + 1/30 + 1/42 + ... + 1/156
= 1/4.5 + 1/5.6 + 1/6.7 + .... + 1/12.13
= 1/4 - 1/5 + 1/5 - 1/6 + 1/6 - 1/7 + ... + 1/12 - 1/13
= 1/4 - 1/13
= 9/52
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90}+\frac{1}{110}+\frac{1}{132}\)
=\(\frac{1}{5\cdot6}+\frac{1}{6\cdot7}+\frac{1}{7\cdot8}+\frac{1}{8\cdot9}+\frac{1}{9\cdot10}+\frac{1}{10\cdot11}+\frac{1}{11\cdot12}\)
=\(\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}+\frac{1}{9}-\frac{1}{10}+\frac{1}{10}-\frac{1}{11}+\frac{1}{11}-\frac{1}{12}\)
=\(\frac{1}{5}-\frac{1}{12}=\frac{12}{60}-\frac{5}{60}=\frac{7}{60}\)
\(\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90}+\frac{1}{110}+\frac{1}{132}\)
= \(\frac{1}{5\cdot6}+\frac{1}{6\cdot7}+\frac{1}{7\cdot8}+\frac{1}{8\cdot9}+\frac{1}{9\cdot10}+\frac{1}{10\cdot11}+\frac{1}{11\cdot12}\)
= \(\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}+\frac{1}{9}-\frac{1}{10}+\frac{1}{10}-\frac{1}{11}+\frac{1}{11}-\frac{1}{12}\)
=\(\frac{1}{5}-\frac{1}{12}\)
=\(\frac{7}{60}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Đặt S=1/6+1/12+1/20+1/30+1/42+1/56+1/72
=> S=1/2.3+1/3.4+1/4.5+1/5.6+1/6.7+1/7.8+1/8.9
=> S=1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9
=> S=1/2-1/9
=> S=7/18
Vì 7/18<1/2
=> S<1/2
Mọi người k mik nhé, :)))
1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56 + 1/72
= 1/2.3 + 1/3.4 + 1/4.5 + 1/5.6 + 1/6.7 + 1/7.8 + 1/8.9
= 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + ... + 1/8-1/9
= 1/2 - 1/9
= 7/18
Bn tự so sánh vs 1/2 nha
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
1/2 + 5/6 + 11/12 + ... + 89/90
= (1 - 1/2) + (1 - 1/6) + (1 - 1/12) + ... + (1 - 1/90)
= (1 - 1/1.2) + (1 - 1/2.3) +(1 - 1/3.4) + ... + (1 - 1/9.10)
= (1 + 1 + 1 + ... + 1) - (1/1.2 + 1/2.3 + 1/3.4 + ... + 1/9.10)
9 số 1
= 9 - (1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + ... + 1/9 - 1/10)
= 9 - (1 - 1/10)
= 9 - 9/10
= 90/10 - 9/10
= 81/10
![](https://rs.olm.vn/images/avt/0.png?1311)
Trả lời
96-3.(x+1)=42
3.(x+1)=96-42
3.(x+1)=54
x+1 =54:3
x+1 =18
x =18-1
x =17
12x-33=32.33
12x-33=35
12x =243+33
12x =276
x =276:12
x =23.
Rất vui khi được giúp bạn !
96-3.(x+1)=42
3.(x+1)=96-42
3.(x+1)=54
x+1=54:3
x+1=18
x =18-1
x =17
12x-33=32.33
12x-33=243
12x =243+33
12x =276
x =276:12
x=23
![](https://rs.olm.vn/images/avt/0.png?1311)
1) Ta có: \(\left(-86-x\right)-\left(3+2x\right)=-4-15\)
\(\Leftrightarrow-86-x-3-2x+4+15=0\)
\(\Leftrightarrow-3x-70=0\)
\(\Leftrightarrow-3x=70\)
hay \(x=-\dfrac{70}{3}\)
Vậy: \(x=-\dfrac{70}{3}\)
2) Ta có: \(18+\left(-x\right)-\left(40-28\right)=-32-\left(-18\right)\)
\(\Leftrightarrow18-x-40+28+32-18=0\)
\(\Leftrightarrow-x+20=0\)
\(\Leftrightarrow-x=-20\)
hay x=20
Vậy: x=20
3) Ta có: \(-27-\left(-31+x\right)-25=-5-17\)
\(\Leftrightarrow-27+31-x-25+5+17=0\)
\(\Leftrightarrow-x+1=0\)
\(\Leftrightarrow-x=-1\)
hay x=1
Vậy: x=1
4) Ta có: \(-9-14-x+42-38=-5+13\)
\(\Leftrightarrow-x-19=8\)
\(\Leftrightarrow-x=27\)
hay x=-27
Vậy: x=-27
ta có 42-(14+86) = 72 - (5-x) <=> 42 - 100 = 72 - 5 +x <=> -142 = 67 + x <=> x= -209
Vậy x=-209
Ta có : 42-(14+86) = 72 - (5-x) \(\Leftrightarrow\)42-100 = 72-5+x\(\Leftrightarrow\)-142 = 67+x \(\Leftrightarrow\)x = -209
Vậy x = -209