2/15+2/35+2/63+2/99

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2/15+2/35+2/63+2/99

2/15+2/35+2/63+2/99
2/15+2/35+2/63+2/99

2/15+2/35+2/63+2/99
您好!

原式
=1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11
=1/3-1/11
=8/33

此题运用简便计算方法,如有问题请追问,谢谢采纳!

=2/3×5 +2/5×7+2/7×9+2/9×11
=1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11
=1/3-1/11
=8/33

2/15+2/35+2/63+2/99
=2×﹙1/3x5+1/5x7+1/7x9+1/9x11)
=2×[½×﹙1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11﹚]
=1/3-1/11
=8/33

2/15+2/35+2/63+2/99
=1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11
=1/3-1/11
=8/33