已知:(1)(a-1)*(a+1)=a平方-1 (2) (a-1)*(a平方+a+1)=a立方-1 (3) (a-1)*(a立方+a平方+a+1)=a四次方-1 ,求(-2)的50次方+(-2)的49次方一直加到(-2)+1等于多少?
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/23 02:20:19
![已知:(1)(a-1)*(a+1)=a平方-1 (2) (a-1)*(a平方+a+1)=a立方-1 (3) (a-1)*(a立方+a平方+a+1)=a四次方-1 ,求(-2)的50次方+(-2)的49次方一直加到(-2)+1等于多少?](/uploads/image/z/1073415-39-5.jpg?t=%E5%B7%B2%E7%9F%A5%EF%BC%9A%EF%BC%881%EF%BC%89%28a-1%29%2A%28a%2B1%29%3Da%E5%B9%B3%E6%96%B9-1+%EF%BC%882%EF%BC%89+%28a-1%29%2A%28a%E5%B9%B3%E6%96%B9%2Ba%2B1%29%3Da%E7%AB%8B%E6%96%B9-1+%EF%BC%883%EF%BC%89+%28a-1%29%2A%28a%E7%AB%8B%E6%96%B9%2Ba%E5%B9%B3%E6%96%B9%2Ba%2B1%29%3Da%E5%9B%9B%E6%AC%A1%E6%96%B9-1+%2C%E6%B1%82%EF%BC%88-2%EF%BC%89%E7%9A%8450%E6%AC%A1%E6%96%B9%2B%EF%BC%88-2%EF%BC%89%E7%9A%8449%E6%AC%A1%E6%96%B9%E4%B8%80%E7%9B%B4%E5%8A%A0%E5%88%B0%EF%BC%88-2%EF%BC%89%2B1%E7%AD%89%E4%BA%8E%E5%A4%9A%E5%B0%91%3F)
已知:(1)(a-1)*(a+1)=a平方-1 (2) (a-1)*(a平方+a+1)=a立方-1 (3) (a-1)*(a立方+a平方+a+1)=a四次方-1 ,求(-2)的50次方+(-2)的49次方一直加到(-2)+1等于多少?
已知:(1)(a-1)*(a+1)=a平方-1 (2) (a-1)*(a平方+a+1)=a立方-1 (3) (a-1)*(a立方+a平方+a+1)=a四次方-1 ,求(-2)的50次方+(-2)的49次方一直加到(-2)+1等于多少?
已知:(1)(a-1)*(a+1)=a平方-1 (2) (a-1)*(a平方+a+1)=a立方-1 (3) (a-1)*(a立方+a平方+a+1)=a四次方-1 ,求(-2)的50次方+(-2)的49次方一直加到(-2)+1等于多少?
由上述三个式子可知规律如下:(a-1)(a^n+a^…………a^4+a^3+a^2+a+1)=a^(n+1)-1 所以 (-2)的50次方+(-2)的49次方一直加到(-2)+1 =(-2-1)[(-2)的50次方+(-2)的49次方……(-2)+1]/(-2-1) =[(-2)^51-1]/(-3)=(2^51+1)/3