1⼀1*3+1⼀3*5+1⼀5*7+……+1⼀47*49

2025-01-02 12:58:19
推荐回答(1个)
回答1:

1/1×3+1/3×5+1/5×7······﹢1/47×49
=1/2×(1-1/3)+1/2×(1/3-1/5)+...+1/2×(1/47-1/49)
=1/2×(1-1/3+1/3-1/5+1/5-1/7+...+1/47-1/49)
=1/2×(1-1/49)
=24/49