用裂项相消法:
1/(ana(n+1)=1/d*[1/an-1/a(n+1)]
因此前n项和=1/d*[ 1/a1-1/a2+1/a2-1/a3+...+1/an-1/a(n+1)]=1/d*[1/a-1/a(n+1)]=1/d*[1/a-1/(a+nd)]
用裂项相消法:
1/(ana(n+1)=1/d*[1/an-1/a(n+1)]
因此前n项和=1/d*[ 1/a1-1/a2+1/a2-1/a3+...+1/an-1/a(n+1)]=1/d*[1/a-1/a(n+1)]=1/d*[1/a-1/(a+nd)]