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b:\(1+2+3+...+n=\dfrac{n\left(n+1\right)}{2}\)
c: \(1+3+5+...+37\)
Số số hạng là:
(37-1):2+1=19(số)
Tổng là: \(\dfrac{38\cdot19}{2}=19\cdot19=361\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Sửa đề: 4^10
\(\dfrac{4^{10}\cdot9^3-6^9\cdot120}{8^4\cdot3^{12}+6^{11}}\)
\(=\dfrac{2^{20}\cdot3^6-2^{12}\cdot3^{10}\cdot5}{2^{12}\cdot3^{12}+2^{11}\cdot3^{11}}\)
\(=\dfrac{2^{12}\cdot3^6\left(2^8-3^4\cdot5\right)}{2^{11}\cdot3^{11}\left(2\cdot3+1\right)}=\dfrac{2}{3^5}\cdot\dfrac{-149}{7}=\dfrac{-298}{3^5\cdot7}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Đáp án B
A = 4 5 17 - 3 4 5 + 8 15 29 - 3 5 17 - 6 14 29 A = 4 5 17 - 3 4 5 + 8 15 29 - 3 5 17 + 6 14 29 A = 4 5 17 - 3 5 17 + 8 15 29 + 6 14 29 - 3 4 5 A = 4 - 3 + 5 17 - 5 17 + 8 + 6 + 15 29 + 14 29 - 3 4 5 A = 1 + 0 + 14 + 1 - 3 4 5 A = 16 - 3 4 5 A = 15 5 5 - 3 4 5 = 12 1 5
![](https://rs.olm.vn/images/avt/0.png?1311)
Đáp án B
A = 4 5 17 - 3 4 5 + 8 15 29 - 3 5 17 - 6 14 29 A = 4 5 17 - 3 4 5 + 8 15 29 - 3 5 17 + 6 14 29 A = 4 5 17 - 3 5 17 + 8 15 29 + 6 14 29 - 3 4 5 A = 4 - 3 + 5 17 - 5 17 + 8 + 6 + 15 29 + 14 29 - 3 4 5 A = 1 + 0 + 14 + 1 - 3 4 5 A = 16 - 3 4 5 A = 15 5 5 - 3 4 5 = 12 1 5
![](https://rs.olm.vn/images/avt/0.png?1311)
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1.a) 168 - 300 : 15
= 168 - 20 = 148
b) 103 - 13 = 90
2. 87 - (321 - x) = 75 : 5 = 15
321 - x = 87 - 15
321 - x = 72
x = 321 - 72 = 249
![](https://rs.olm.vn/images/avt/0.png?1311)
a)
− 17 13 + 25 101 + 4 13 = − 17 13 + 25 101 + 4 13 = − 17 13 + 4 13 + 25 101 = − 1 + 25 101 = − 76 101
b)
− 5 12 + 6 11 + 7 17 + 5 11 + 5 12 = − 5 12 + 6 11 + 7 17 + 5 11 + 5 12 = − 5 12 + 5 12 + 6 11 + 5 11 + 7 17 = 0 + 1 + 7 17 = 1 7 17
![](https://rs.olm.vn/images/avt/0.png?1311)
a)
− 3 10 − 6 11 − 21 30 − 5 11 = − 3 10 + 6 11 − 7 10 + 5 11 = − 3 10 − 7 10 + 6 11 + 5 11 = − 1 + 1 = 0
b)
13 5 + 7 16 − 11 16 − 12 10 = 13 5 + 7 16 − 11 16 + 6 5 = 13 5 + 6 5 + 7 16 − 11 16 = 19 5 + − 1 4 = 76 20 + − 5 20 = 71 20
a) (247 x 514 x 213 x 913 x 517 x 917 ) : (230 x 230 x 530 x 930)
(260 x 531 x 930) : (260 x 530 x 930) = 5