(1/8+1/24+1/48+1/80+1/120+1/168+1/224+1/228)*128

学习 时间:2026-04-08 23:44:00 阅读:3102
(1/8+1/24+1/48+1/80+1/120+1/168+1/224+1/228)*128

最佳回答

笨笨的早晨

满意的乌龟

2026-04-08 23:44:00

(1/8+1/24+1/48+1/80+1/120+1/168+1/224+1/288)*128 =(1/2+1/6+1/12+1/20+1/30+1/42+14/56+1/72)*32=(1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9)*32=(1-1/9)*32=8/9*32=256/9

最新回答共有2条回答

  • 孝顺的飞鸟
    回复
    2026-04-08 23:44:00

    (1/8+1/24+1/48+1/80+1/120+1/168+1/224+1/288)*128 =(1/2+1/6+1/12+1/20+1/30+1/42+14/56+1/72)*32=(1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9)*32=(1-1/9)*32=8/9*32=256/9

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