已知(1/3-1/5)×1/2=1/15,(1/5-1/7) ×1/2,(1/7-1/9)1/2+1/63……(1/3-1/5)×1/2=1/15,(1/5-1/7) ×1/2,(1/7-1/9)1/2+1/63……用类似方法计算8/(3×3)+16/(15×15)+24/(35×35)+32/(63×63)+40/(99×99)+48/(143×143)
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/27 19:05:56
![已知(1/3-1/5)×1/2=1/15,(1/5-1/7) ×1/2,(1/7-1/9)1/2+1/63……(1/3-1/5)×1/2=1/15,(1/5-1/7) ×1/2,(1/7-1/9)1/2+1/63……用类似方法计算8/(3×3)+16/(15×15)+24/(35×35)+32/(63×63)+40/(99×99)+48/(143×143)](/uploads/image/z/1327308-60-8.jpg?t=%E5%B7%B2%E7%9F%A5%EF%BC%881%2F3-1%2F5%EF%BC%89%C3%971%2F2%3D1%2F15%2C%281%2F5-1%2F7%29+%C3%971%2F2%2C%281%2F7-1%2F9%291%2F2%2B1%2F63%E2%80%A6%E2%80%A6%EF%BC%881%2F3-1%2F5%EF%BC%89%C3%971%2F2%3D1%2F15%2C%281%2F5-1%2F7%29+%C3%971%2F2%2C%281%2F7-1%2F9%291%2F2%2B1%2F63%E2%80%A6%E2%80%A6%E7%94%A8%E7%B1%BB%E4%BC%BC%E6%96%B9%E6%B3%95%E8%AE%A1%E7%AE%978%2F%283%C3%973%29%2B16%2F%2815%C3%9715%29%2B24%2F%2835%C3%9735%29%2B32%2F%2863%C3%9763%29%2B40%2F%2899%C3%9799%29%2B48%2F%28143%C3%97143%29)
已知(1/3-1/5)×1/2=1/15,(1/5-1/7) ×1/2,(1/7-1/9)1/2+1/63……(1/3-1/5)×1/2=1/15,(1/5-1/7) ×1/2,(1/7-1/9)1/2+1/63……用类似方法计算8/(3×3)+16/(15×15)+24/(35×35)+32/(63×63)+40/(99×99)+48/(143×143)
已知(1/3-1/5)×1/2=1/15,(1/5-1/7) ×1/2,(1/7-1/9)1/2+1/63……
(1/3-1/5)×1/2=1/15,(1/5-1/7) ×1/2,(1/7-1/9)1/2+1/63……
用类似方法计算8/(3×3)+16/(15×15)+24/(35×35)+32/(63×63)+40/(99×99)+48/(143×143)
已知(1/3-1/5)×1/2=1/15,(1/5-1/7) ×1/2,(1/7-1/9)1/2+1/63……(1/3-1/5)×1/2=1/15,(1/5-1/7) ×1/2,(1/7-1/9)1/2+1/63……用类似方法计算8/(3×3)+16/(15×15)+24/(35×35)+32/(63×63)+40/(99×99)+48/(143×143)
8/(3×3)+16/(15×15)+24/(35×35)+32/(63×63)+40/(99×99)+48/(143×143) =1/(1×1)-1/(3×3)+(1/(3×3)-1/(5×5))+(1/(5×5)-1/(7×7))+(1/(7×7)-1/(9×9))+(1/(9×9)-1/(11×11))+(1/(11×11)-1/(13×13))=1/(1×1)-1/(13×13))=168/169