1/5x7+1/7x9+1/9x11+1/11x13+…+1/23x25

来源:学生作业帮助网 编辑:作业帮 时间:2024/06/16 15:39:26
1/5x7+1/7x9+1/9x11+1/11x13+…+1/23x25
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1/5x7+1/7x9+1/9x11+1/11x13+…+1/23x25
1/5x7+1/7x9+1/9x11+1/11x13+…+1/23x25

1/5x7+1/7x9+1/9x11+1/11x13+…+1/23x25
1/5x7+1/7x9+1/9x11+1/11x13+…+1/23x25
=1/2×(1/5-1/7+1/7-1/9+1/9-1/11+1/11-1/13+……+1/23-1/25)
=1/2×(1/5-1/25)
=1/2×4/25
=2/25