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số số hạng là :
( 2017 - 1 ) : 3 + 1 = 673 ( số )
tổng là :
( 2017 + 1 ) x 673 : 2 = 679057
Đáp số : ...
Số số hạng là
( 2017 - 1 ) : 3 + 1 = 673
Tổng là :
( 2017 + 1 ) x 673 : 2 = 679057
Đáp số : 679057
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(\frac{10}{99}+\frac{11}{199}-\frac{12}{299}\right)\times\left(\frac{1}{2}-\frac{1}{3}+-\frac{1}{6}\right)\)
\(=\left(\frac{10}{99}+\frac{11}{199}-\frac{12}{299}\right)\times\left(\frac{1}{2}-\frac{1}{3}-\frac{1}{6}\right)\)
\(=\left(\frac{10}{99}+\frac{11}{199}-\frac{12}{299}\right)\times\left(\frac{3}{6}-\frac{2}{6}-\frac{1}{6}\right)\)
\(=\left(\frac{10}{99}+\frac{11}{199}-\frac{12}{299}\right)\times0\)
\(=0\)
![](https://rs.olm.vn/images/avt/0.png?1311)
23 . 75 . 25 . 23 + 180
= 23 . ( 75 + 25 ) + 180
= 23 . 100 + 180
= 2300 + 180
= 2480
Ủng hộ nhé
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a,(x+2)(x-2)-(x-3)(x+1)
= x^2 - 2^2 - ( x^2 + x - 3x - 3 )
= x^2 - 4 - x^2 - x + 3x +3
= 2x -1
duyệt đi olm
![](https://rs.olm.vn/images/avt/0.png?1311)
\(M=1+\dfrac{1}{5}+\dfrac{3}{35}+...+\dfrac{3}{9999}\\ =\dfrac{3}{3}+\dfrac{3}{15}+\dfrac{3}{35}+...+\dfrac{3}{9999}\\ =\dfrac{3}{2}\left(\dfrac{2}{1\cdot3}+\dfrac{2}{3\cdot5}+...+\dfrac{2}{99\cdot101}\right)\\ =\dfrac{3}{2}\left(1-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+...+\dfrac{1}{99}-\dfrac{1}{101}\right)\\ =\dfrac{3}{2}\left(1-\dfrac{1}{101}\right)=\dfrac{3}{2}\cdot\dfrac{100}{101}=\dfrac{150}{101}\)
Câu I:
1:
a: \(=\dfrac{4}{27}:\dfrac{1-10}{15}+\dfrac{4}{9}:\dfrac{2-5}{22}\)
\(=\dfrac{4}{27}\cdot\dfrac{15}{-9}+\dfrac{4}{9}\cdot\dfrac{22}{-3}\)
\(=\dfrac{-60}{243}-\dfrac{88}{27}=\dfrac{-852}{243}=-\dfrac{284}{81}\)
b: \(=\dfrac{2^{24}\cdot3^{15}\cdot5-2^{26}\cdot3^{15}}{19\cdot2^{24}\cdot3^{14}-2^{25}\cdot3^{16}}\)
\(=\dfrac{2^{24}\cdot3^{15}\left(5-2^2\right)}{2^{24}\cdot3^{14}\left(19-2\cdot3^2\right)}=3\)
2: N=1+3+3^2+...+3^2022
=>3N=3+3^2+...+3^2023
=>2N=3^2023-1
=>\(N=\dfrac{3^{2023}-1}{2}\)
\(M=\dfrac{3^{2023}-1-3^{2023}}{2}=\dfrac{-1}{2}\)