1⼀1×3+1⼀3×5+1⼀5×7+1⼀7×9+........+1⼀97×99

2024-11-22 03:14:12
推荐回答(1个)
回答(1):

1/3+1/3×5+1/5×7+1/7×9+…+1/97×99
=1/2[1-1/3]+1/2[1/3-1/5]+...+1/2[1/97-1/99]
=1/2[1-1/3+1/3-1/5+....+1/97-1/99]
=1/2[1-1/99]
=1/2*98/99
=49/99