Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(1+2+3+...+n=\frac{\left(1+2+...+n\right)+\left(n+\left(n-1\right)+...+1\right)}{2}.\)
\(=\frac{\left(n+1\right)+\left(n+1\right)+...+\left(n+1\right)}{2}.\left(có.n.nhóm.n+1\right)\)
\(=\frac{n\left(n+1\right)}{2}.\)
ta có:\(x^2y+2x^2y+3x^2y+...+nx^2y=210x^2y\)
\(x^2y\left(1+2+3+4+...+n\right)=210x^2y\)
\(1+2+3+...+n=210x^2y:\left(x^2y\right)\)
\(1+2+3+...+n=210\)
\(\frac{\left(n-1\right):1+1}{2}.\left(n+1\right)=210\)
\(n\left(n+1\right):2=210\)
\(n.\left(n+1\right)=420=20.21\)
vậy n=20
ta có: x^2y+2x^2y+3x^2y+...+nx^2y=210x^2y
x^2y(1+2+3+4+...+n)=210x^2y
1+2+3+4+...+n=210x^2y/x^2y
1+2+3+4+...+n=210
(n-1):1+1/2.(n+1)=210
n(n+1)/2=210
n(n+1)=420=20.21
Vậy n=20
\(Q-\left(2x^4-3x^2y^2+5x^2y-4x+2\right)=2x^2y^2+5x-7x-x^2y\)
\(\Rightarrow Q=\left(2x^2y^2+5x-7x-x^2y\right)+\left(2x^4-3x^2y^2+5x^2y-4x+2\right)\)
\(\Rightarrow Q=2x^2y^2+5x-7x-x^2y+2x^4-3x^2y^2+5x^2y-4x+2\)
\(\Rightarrow Q=\left(2x^2y^2-3x^2y^2\right)+\left(5x-7x-4x\right)+\left(-x^2y+5x^2y\right)+2x^4+2\)
\(\Rightarrow Q=-x^2y^2+\left(-6x\right)+4x^2y+2x^4+2\)
\(x^2y+2x^2y+3x^2y+....+nx^2y=210x^2y\)
\(x^2y\left(1+2+3+...+n\right)=210x^2y\)
\(1+2+3+...+n=210\)
\(\frac{n\left(n+1\right)}{2}=210\)
\(n\left(n+1\right)=420\)
\(n\left(n+1\right)=20.21\)
\(\Rightarrow n=20\)
x^2.y+2x^2.y+3x^2.y+...+n.x^2y=210x^2.y
x^2.y(1+2+3+..+n)=210x^2.y
1+2+3+..+n=210
=>(n+1)(n-1+1)/2=210
(n+1)n/2=210
(n+1)n=420=21.20
=>n+1=21
n=20