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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Gọi biểu thức trên là A, ta có:
\(A=\frac{1}{2\cdot15}+\frac{1}{15\cdot3}+\frac{1}{3\cdot21}+\frac{1}{21\cdot4}+...+\frac{1}{87\cdot90}\)
\(13A=\frac{13}{2\cdot15}+\frac{13}{15\cdot3}+\frac{13}{3\cdot21}+\frac{13}{21\cdot4}+...+\frac{13}{87\cdot90}\)
\(13A=\frac{1}{2}-\frac{1}{15}+\frac{1}{15}-\frac{1}{3}+\frac{1}{3}-\frac{1}{21}+\frac{1}{21}-\frac{1}{4}+...+\frac{1}{87}-\frac{1}{90}\)
\(13A=\frac{1}{2}-\frac{1}{90}\)
\(13A=\frac{22}{45}\)
\(A=\frac{22}{45\text{x}13}=\frac{22}{585}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
D = \(\dfrac{1}{1.4}\) + \(\dfrac{1}{4.7}\) + \(\dfrac{1}{7.10}\)+...+ \(\dfrac{1}{91.94}\)
D = \(\dfrac{1}{1}\) - \(\dfrac{1}{4}\) + \(\dfrac{1}{4}\) - \(\dfrac{1}{7}\) + \(\dfrac{1}{7}\) - \(\dfrac{1}{10}\)+...+ \(\dfrac{1}{91}\) - \(\dfrac{1}{94}\)
D = \(\dfrac{1}{1}\) - \(\dfrac{1}{94}\)
D = \(\dfrac{93}{94}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(1-\left(x-1\right):3=\dfrac{2}{3}\)
\(\Rightarrow\left(x-1\right):3=1-\dfrac{2}{3}\)
\(\Rightarrow\left(x-1\right):3=\dfrac{1}{3}\)
\(\Rightarrow x-1=\dfrac{1}{3}.3\)
\(\Rightarrow x-1=1\)
\(\Rightarrow x=2\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(5x\div21=0\)
\(5x=0\times21\)
\(5x=0\)
\(\Rightarrow x=0\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(100+97+94+...+4+1\)
Số các số hạng trong dãy số trên là:
\(\left(100-1\right):3+1=34\left(số\right)\)
Tổng các số trên bằng:
\(\left(100+1\right)\cdot34:2=1717\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài làm
a) 7x - 13 = 32 . 4
=> 7x - 13 = 9 . 4
=> 7x - 13 = 36
=> 7x = 36 + 13
=> 7x = 49
=> x = 49 : 7
=> x = 7
Vậy x = 7
# Học tốt #
7x - 13 = 32.4
7x - 13 = 9.4
7x - 14 = 36
7x = 36 + 14
7x = 49
x = 49 : 7
x = 7
Gọi biểu thức trên là A, ta có:
�=12⋅15+115⋅3+13⋅21+121⋅4+...+187⋅90A=2⋅151+15⋅31+3⋅211+21⋅41+...+87⋅901
13�=132⋅15+1315⋅3+133⋅21+1321⋅4+...+1387⋅9013A=2⋅1513+15⋅313+3⋅2113+21⋅413+...+87⋅9013
13�=12−115+115−13+13−121+121−14+...+187−19013A=21−151+151−31+31−211+211−41+...+871−901
13�=12−19013A=21−901
13�=224513A=4522
�=2245x13=22585A=45x1322=58522