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Số chính phương khi chia 3 chỉ dư 0 hoặc 1.
Trường hợp 1:
\(a^2\equiv1\left(mod3\right);b^2\equiv0\left(mod3\right)\Leftrightarrow a^2+b^2\equiv1\left(mod3\right)\)(loại)
Trường hợp 2:
\(a^2\equiv1\left(mod\right)3;b^2\equiv1\left(mod3\right)\Leftrightarrow a^2+b^2\equiv2\left(mod3\right)\)(loại)
Trường hợp 3:
\(a^2\equiv0\left(mod3\right);b^2\equiv0\left(mod3\right)\Leftrightarrow a^2+b^2\equiv0\left(mod3\right)\) ( thỏa mãn )
Vậy có đpcm.
Giải:
Giả sử a không ⋮ 3 ➩ b không ⋮ 3
➩\(a^2 - 1 + b^2-1\) ⋮ 3
Mà \(a^2 +b^2\)➩2⋮ 3 (không có thể)
Vậy ➩a và b ⋮ 3.
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P = 2.3.4....a => P chia hết cho 3
=> P - 1 : 3 dư 2 => Ko là SCP
Ta có : 3.4.....a lẻ = 2k+1 => P = 2(2k+1) = 4k + 2
=> P + 1 = 4k + 2 + 1 = 4k + 3 : 4 dư 3 => Ko là SCP
=> P - 1 và P + 1 Ko là SCP
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Ta có: \(S=\dfrac{4}{1\cdot3}+\dfrac{16}{3\cdot5}+\dfrac{36}{5\cdot7}+...+\dfrac{2500}{49\cdot51}\)
\(=1+\dfrac{1}{1\cdot3}+1+\dfrac{1}{3\cdot5}+1+\dfrac{1}{5\cdot7}+...+1+\dfrac{1}{49\cdot51}\)
\(=25+\dfrac{1}{2}\cdot\left(\dfrac{2}{1\cdot3}+\dfrac{2}{3\cdot5}+\dfrac{2}{5\cdot7}+...+\dfrac{2}{49\cdot51}\right)\)
\(=25+\dfrac{1}{2}\cdot\left(\dfrac{1}{1}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+...+\dfrac{1}{49}-\dfrac{1}{51}\right)\)
\(=25+\dfrac{1}{2}\left(1-\dfrac{1}{51}\right)\)
\(=25+\dfrac{1}{2}\cdot\dfrac{50}{51}\)
\(=25+\dfrac{25}{51}\)
\(=25\cdot\dfrac{52}{51}=\dfrac{1300}{51}\)
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Giả sử tồn tại n thoả mãn đề bài.
Dễ thấy \(2019^{2018}+1\) chẵn nên \(n^3+2018n\), suy ra n chẵn.
Do đó \(n^3+2018n⋮4\).
Mặt khác ta có \(2019^{2018}\equiv\left(-1\right)^{2018}\equiv1\left(mod4\right)\Rightarrow2019^{2018}+1\equiv2\left(mod4\right)\).
Điều này là vô lí vì VT chia hết cho 4 còn VP không chia hết cho 4.
Vậy không tồn tại n thoả mãn đề bài.
![](https://rs.olm.vn/images/avt/0.png?1311)
-8/12 rút gọn bằng-2/3; 15/-60 =-1/4; -16/-72=2/9;35/14.15=1/6
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Phần bể chưa có nước bằng:
1 - \(\dfrac{1}{4}\) = \(\dfrac{3}{4}\) (thể tích bể)
Bể sẽ đầy sau:
\(\dfrac{3}{4}\) : \(\dfrac{1}{8}\) = 6 (giờ)
Đs...
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Ta có : p8n+3p4n- 4 = (p4n)2+3p4n- 4
Vì p là số nguyên tố lớn hơn 5 nên p có tận cùng là chữ số 1;3;7 hoặc 9
+) Với p = (...1), ta có: p4n=(...1)4n=(...1)
=> (p4n)2=(...1)2=(...1); 3p4n= 3.(...1)=(...3)
=>(p4n)2+3p4n- 4=(...1)+(...3)-4=(...0) chia hết cho 5
+) Với p = (...3), ta có: p4n=(...3)4n=(...1)
=> (p4n)2=(...1)2=(...1); 3p4n= 3.(...1)=(...3)
=>(p4n)2+3p4n- 4=(...1)+(...3)-4=(...0) chia hết cho 5
+) Với p = (...7), ta có: p4n=(...7)4n=(...1)
=> (p4n)2=(...1)2=(...1); 3p4n= 3.(...1)=(...3)
=>(p4n)2+3p4n- 4=(...1)+(...3)-4=(...0) chia hết cho 5
+) Với p = (...9), ta có: p4n=[(...9)2n]2=(...1)2=(...1)
=> (p4n)2=(...1)2=(...1); 3p4n= 3.(...1)=(...3)
=>(p4n)2+3p4n- 4=(...1)+(...3)-4=(...0) chia hết cho 5
Vậy p8n+3p4n- 4 chia hết cho 5 khi p là số nguyên tố lớn hơn 5
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a + 3 ≤x≤a + 2018 ( a ∈N )
vậy x thuộc (a+3;a+4;a+5;a+6;...;a+2018)
tổng:
a+3+a+4+a+5+a+6+a+7+...+a+2018
=a*2016+3+4+5+6+7+...+2018
=a*2016+(2018+3)*2016:2
-----đến đây cậu làm đc ùi-mik lười lắm ------
mình làm thế này có đúng ko nhỉ![](data:image/jpeg;base64,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)
chang ai tra loi dau 1