为什么1/2n(2n+2)=1/4(1/n-1/n+1)
2个回答
左边=1/[4n(n+1)]
=1/4*1/n(n+1)
=1/4*[(n+1)-n]/n(n+1)
=1/4*[(n+1)/n(n+1)-n/n(n+1)]
=1/4*[1/n-1/(n+1)]
相关问题
1/2*3/4*……*(2n-1)/2n为什么等于3/2*5/4*……*(2n+1)/2n*1/(2n+1)
为什么1+2+3+4+5.+n=1/2n(n+1)
n→∞ lim[1+1/(1+2n)+1/(2+2n)+1/(3+2n)+1/(4+2n).+1/(n+2n)]=
一道数学题、1+2+3+4+---------+n=n/2(1+n)为什么等于n/2(1+n)?
为什么1^2+2^2+3^2+4^2+5^2+.N^2=1/6N*(N-1)*(2N-1)?
为什么1*1+2*2+3*3+……+n*n=1/6n(n+1)(2n+1)
(2+1)(2^2+1)(2^4+1)……(2^2n+1)(n为正整数)+1=2^4n,为什么
1\n(n+1)+1\(n+1)(n+2)+1\(n+2)(n+3)+1\(n+3)(n+4)
(n+1)(n+2)/1 +(n+2)(n+3)/1 +(n+3)(n+4)/1
求证1-1/2+1/3-1/4……+1/(2n-1)-1/2n=1/(n+1)+1/(n+2)+……1/2n