(-2)50次方+(-2)49次方+(-2)48次方+.+(-2)+1的值谢谢.
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/21 15:03:41
![(-2)50次方+(-2)49次方+(-2)48次方+.+(-2)+1的值谢谢.](/uploads/image/z/635965-61-5.jpg?t=%EF%BC%88-2%EF%BC%8950%E6%AC%A1%E6%96%B9%2B%EF%BC%88-2%EF%BC%8949%E6%AC%A1%E6%96%B9%2B%EF%BC%88-2%EF%BC%8948%E6%AC%A1%E6%96%B9%2B.%2B%EF%BC%88-2%EF%BC%89%2B1%E7%9A%84%E5%80%BC%E8%B0%A2%E8%B0%A2.)
(-2)50次方+(-2)49次方+(-2)48次方+.+(-2)+1的值谢谢.
(-2)50次方+(-2)49次方+(-2)48次方+.+(-2)+1的值
谢谢.
(-2)50次方+(-2)49次方+(-2)48次方+.+(-2)+1的值谢谢.
(-2)^50+(-2)^49+(-2)^48+…+(-2)+1
=2^50-2^49+2^48-2^47+...-2+1,
=2*2^49-2^49+2*2^47-2^47+...-1
=2^49+2^47+...+2+1
设b=2^49+2^47+...+2+1,
所以4b=2^51+2^49+...+2^3+4,
所以4b-b=2^51+1,
所以3b=2^51+1,
所以b=(2^51+1)/3,
即(-2)^50+(-2)^49+(-2)^48+…+(-2)+1=(2^51+1)/3.
(-2)^50+(-2)^49+(-2)^48+…+(-2)+1
=2^50-2^49+2^48-2^47+...-2+1,
=2^49+2^47+...+2+1
设a=2^49+2^47+...+2+1,
所以4a=2^51+2^49+...+2^3+4,
所以4a-a=2^51+1,
所以3a=2^51+1,
所以a=(2^51+1)/3,
即(-2)^50+(-2)^49+(-2)^48+…+(-2)+1=(2^51+1)/3.
(-2)^50+(-2)^49+(-2)^48+…+(-2)+1
=2^50-2^49+2^48-2^47+...-2+1,
=2*2^49-2^49+2*2^47-2^47+...-1
=2^49+2^47+...+2+1
设b=2^49+2^47+...+2+1,
所以4b=2^51+2^49+...+2^3+4,
所以4b-b=2^51+1,
所以3b=2^51+1,
所以b=(2^51+1)/3,
即(-2)^50+(-2)^49+(-2)^48+…+(-2)+1=(2^51+1)/3
应该是(2^51-1)/3
1/3(2^51+1)