观察以下等式:1*2=1/3*1*2*3,1*2+2*3=1/3*2*3*4,1*2+2*3+3*4=1/3*3*4*5那么,根据以上规律写出第n个等式来(n为正整数)
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![观察以下等式:1*2=1/3*1*2*3,1*2+2*3=1/3*2*3*4,1*2+2*3+3*4=1/3*3*4*5那么,根据以上规律写出第n个等式来(n为正整数)](/uploads/image/z/8792204-68-4.jpg?t=%E8%A7%82%E5%AF%9F%E4%BB%A5%E4%B8%8B%E7%AD%89%E5%BC%8F%EF%BC%9A1%2A2%3D1%2F3%2A1%2A2%2A3%2C1%2A2%2B2%2A3%3D1%2F3%2A2%2A3%2A4%2C1%2A2%2B2%2A3%2B3%2A4%3D1%2F3%2A3%2A4%2A5%E9%82%A3%E4%B9%88%2C%E6%A0%B9%E6%8D%AE%E4%BB%A5%E4%B8%8A%E8%A7%84%E5%BE%8B%E5%86%99%E5%87%BA%E7%AC%ACn%E4%B8%AA%E7%AD%89%E5%BC%8F%E6%9D%A5%EF%BC%88n%E4%B8%BA%E6%AD%A3%E6%95%B4%E6%95%B0%EF%BC%89)
观察以下等式:1*2=1/3*1*2*3,1*2+2*3=1/3*2*3*4,1*2+2*3+3*4=1/3*3*4*5那么,根据以上规律写出第n个等式来(n为正整数)
观察以下等式:1*2=1/3*1*2*3,1*2+2*3=1/3*2*3*4,1*2+2*3+3*4=1/3*3*4*5
那么,根据以上规律写出第n个等式来(n为正整数)
观察以下等式:1*2=1/3*1*2*3,1*2+2*3=1/3*2*3*4,1*2+2*3+3*4=1/3*3*4*5那么,根据以上规律写出第n个等式来(n为正整数)
1*2+2*3+3*4+...+n*(n+1) = (1/3)*[n*(n+1)*(n+2)]