计算1×3分之1+3×5分之1+5×7分之1...+17×19分之1+19× 21分之1 有过程

2025-01-03 03:04:27
推荐回答(1个)
回答1:

1×3分之1+3×5分之1+5×7分之1...+17×19分之1+19× 21分之1
=1/2(1-1/3)+1/2(1/3-1/5)+1/2(1/5-1/7)+……+1/2(1/17-1/19)+1/2(1/19-1/21)
=1/2(1-1/21)
=10/21