设S1=1+1⼀1눀+1⼀2눀,S2=1+1⼀2눀+1⼀3눀,S3=1+1⼀3눀+1⼀4눀....

2024-12-13 04:35:22
推荐回答(1个)
回答1:

解1:
√(Sn)=√{1+1/(n^2)+1/[(n+1)^2]}
√(Sn)={1/[n(n+1)]}√{(n^2)[(n+1)^2]+(n+1)^2+n^2}
√(Sn)=[1/(n^2+n1)]√(n^4+2n^3+3n^2+2n+1)