m+2m^2+3m^3+4m^4+...nm^n=?
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m+2m^2+3m^3+4m^4+...nm^n=?
能不能给个过程
能不能给个过程
![m+2m^2+3m^3+4m^4+...nm^n=?](/uploads/image/z/19868531-59-1.jpg?t=m%2B2m%5E2%2B3m%5E3%2B4m%5E4%2B...nm%5En%3D%3F)
若m=1
m+2m^2+3m^3+4m^4+...nm^n=1+2+3+4+…+n=n(n+1)/2
若m≠1
记m+2m^2+3m^3+4m^4+...nm^n=S
mS=m^2+2m^3+3m^4+…+(n-1)m^n+nm^(n+1)
上下两式相减,(m-1)S=nm^(n+1)-(m^n+…+m^4+m^3+m^2+m)
=(n-1/(m-1))m^(n+1)+m/(m-1)
S=(n/(m-1)-1/(m-1)^2)m^(n+1)+m/(m-1)^2
m+2m^2+3m^3+4m^4+...nm^n=1+2+3+4+…+n=n(n+1)/2
若m≠1
记m+2m^2+3m^3+4m^4+...nm^n=S
mS=m^2+2m^3+3m^4+…+(n-1)m^n+nm^(n+1)
上下两式相减,(m-1)S=nm^(n+1)-(m^n+…+m^4+m^3+m^2+m)
=(n-1/(m-1))m^(n+1)+m/(m-1)
S=(n/(m-1)-1/(m-1)^2)m^(n+1)+m/(m-1)^2
化简m-(m^2×n+3m-4n)+(2nm^2-3n)
已知M+N=4分之3,m-n=四分之一 m^2-2nm+3m+3n+n^2
已知丨m-2丨+(n+5/1)²=0,求m-(m²n+3m-4n)+3(2nm²-3n)的
已知m+n=3/4.m-n=1/4,求m^2+nm-3m-3n的值
计算:(a^m)^n*(-a^3n)^2m除以(a^nm)^5-a^2nm
已知3m=4n,则mm+n+nm−n−m
m-2m-3m+4m-5m-6m+7m.2004m=?
(m+3m+5m.+2013m)-(2m+4m+6m+.+2012m)=?
(m+3m+5m+...+2015m)-(2m+4m+6m+...+2014m)=
[(m-n)^2*(m-n)^3]^2/(m-n)^4
(m-n)2(n-m)3(n-m)4化简
计算:1.[(m+n)(n-m)-(m+n)^2+3m(m+n)]除以(-2M),其中m=-4,n=2 2.(x+y)(