1⼀3,1⼀8,1⼀15,1⼀24......前十项求和是多少?

2025-04-04 19:47:27
推荐回答(2个)
回答1:

1/n^2-1
=1/(n+1)(n-1)
S=0.5(1-1/3+1/2-1/4+1/3-1/5+.........+1/10-1/12)=0.5*(1+1/2-1/11-1/12)=175/264

回答2:

175/264 每项可以拆开来 1/3=1/2(1-1/3) 1/8=1/2(1/2-1/4)以此类推