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A=1.1+2.2+3.3+...+99.99+100.100
3A=1.2.3+2.3.(4-1)+...99.100.(101-98)
3A=1.2.3+2.3.4-1.2.3+...+99.100.101-98.99.100
3A=99.100.101=999900
A= 999900:3=333300
\(A=1^2+2^2+3^2+...+100^2\)
\(\Rightarrow A=1\left(2-1\right)+2\left(3-1\right)+3\left(4-1\right)+...+100\left(101-1\right)\)
\(\Rightarrow A=1.2-1+2.3-2+3.4-3+...+100.101-100\)
\(\Rightarrow A=1.2+2.3+...+100.101-\left(1+2+3+...+100\right)\)
\(\Rightarrow A=\frac{100.101.102}{3}-\frac{\left(100+1\right)\left[\left(100-1\right):1+1\right]}{2}=\frac{100.101.102.2}{6}-\frac{101.100.3}{6}\)
\(\Rightarrow A=\frac{100.101\left(102.2-3\right)}{6}\)
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a) A=625–(61–17).12+(27+27):17A=625–(61–17).12+(27+27):17
=625–528+3=100=625–528+3=100
b) B=−126–(42–5)2+870:29B=−126–(42–5)2+870:29
=−126–112+30=−126–112+30
=−126–121+30=−217
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46.37 + 93.46 + 54.61 + 69.54
= 46.(37+93) + 54.(61+69)
= 46. 130 + 54.130
= 130.(46+54)
= 130.100 = 13 000
46 . 37 + 93 . 46 + 54 . 61 + 69 . 54
= 46 . (37+ 93) + 54 . (61 + 69)
= 46 . 130 + 54 . 130
= (46 + 54) . 130
= 100 . 130
= 13000
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Bằng 7 mũ ( 2+4+6+...+20)
Bằng 7 mũ ( (20-2) : 2 +1)
Bằng 7 mũ 10
Bằng 282475249 nha
Nếu đúng thì làm ơn cậu duyệt cho mình đi
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Ta có : \(A=3+3^2+3^3+3^4+...+3^{25}\)
\(=3+\left(3^2+3^3+3^4\right)+...+\left(3^{23}+3^{24}+3^{25}\right)\)
\(=3+3\left(3+3^2+3^3\right)+...+3^{22}\left(3+3^2+3^3\right)\)
\(=3+3.39+...+3^{22}.39\)
\(=3+39\left(3+...+3^{22}\right)\)
\(\Rightarrow A\)chia cho 39 dư 3
\(\Rightarrow A\)không chia hết cho 39 ( đpcm )
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bạn ơi hôm nay mình thi toán có bài y hệt luôn nhưng hkhoong làm được hu hu mất 0.5 điềm
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Ta có: abcabc = abc x 1000 + abc
=> abcabc = 1001 x abc
Mà 1001 = 11 x 13 x 17
=> abcabc chia hết cho 13, 11, 17.
\(\left(625:25-7\right):17-100=\left(25-7\right):17-100\)
\(=18:17-100=\frac{1}{17}-99\)
\(=\frac{1}{17}-\frac{1683}{17}=-\frac{1682}{17}\)
( 625:25 - 7 ) : 17 - 100
=( 25 -7 ) : 17 - 100
=18/17 -100
= \(-\frac{1682}{17}\)