求(1⼀3+1⼀8+1⼀15……+1⼀2n+n.n)的和

就是个数列和最后答案我算出来验证不对呀,我算出来是3n+4⼀4n+8
2025-04-04 21:09:43
推荐回答(1个)
回答1:

1/3 = 1 / ( 2-1 )( 2+1 ) = 1/2 ( 1 - 1/3 )
1/8 = 1 / ( 3-1 )( 3+1 ) = 1/2 ( 1/2 - 1/4)
1/15 = 1 / ( 4-1 )( 4+1 ) = 1/2 ( 1/3 - 1/5 )
1/n = 1/ ( n+1 - 1)( n+1+1)=1/2( 1/n-1/n+2 ) 后面自己算了