探索:(x-1)(x+1)=x^2-1 (x-1)(x^2+x+1)=x^3-1 (x-1)(x^3+x^2+x+1)=x^4-1 (x-1)(x^探索:(x-1)(x+1)=x^2-1 (x-1)(x^2+x+1)=x^3-1 (x-1)(x^3+x^2+x+1)=x^4-1 (x-1)(x^4+x^3+x^2+x+1)=x^5-1试求:2^6+2^5+2^4+2^3+2^2+2+1的值 判断:2^2005+2^2004+2^20
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![探索:(x-1)(x+1)=x^2-1 (x-1)(x^2+x+1)=x^3-1 (x-1)(x^3+x^2+x+1)=x^4-1 (x-1)(x^探索:(x-1)(x+1)=x^2-1 (x-1)(x^2+x+1)=x^3-1 (x-1)(x^3+x^2+x+1)=x^4-1 (x-1)(x^4+x^3+x^2+x+1)=x^5-1试求:2^6+2^5+2^4+2^3+2^2+2+1的值 判断:2^2005+2^2004+2^20](/uploads/image/z/15095570-50-0.jpg?t=%E6%8E%A2%E7%B4%A2%3A%28x-1%29%28x%2B1%29%3Dx%5E2-1+%28x-1%29%28x%5E2%2Bx%2B1%29%3Dx%5E3-1+%28x-1%29%28x%5E3%2Bx%5E2%2Bx%2B1%29%3Dx%5E4-1+%28x-1%29%28x%5E%E6%8E%A2%E7%B4%A2%EF%BC%9A%EF%BC%88x-1%29%28x%2B1%EF%BC%89%3Dx%5E2-1+%28x-1%29%28x%5E2%2Bx%2B1%29%3Dx%5E3-1+%28x-1%29%28x%5E3%2Bx%5E2%2Bx%2B1%29%3Dx%5E4-1+%28x-1%29%EF%BC%88x%5E4%2Bx%5E3%2Bx%5E2%2Bx%2B1%29%3Dx%5E5-1%E8%AF%95%E6%B1%82%EF%BC%9A2%5E6%2B2%5E5%2B2%5E4%2B2%5E3%2B2%5E2%2B2%2B1%E7%9A%84%E5%80%BC+%E5%88%A4%E6%96%AD%EF%BC%9A2%5E2005%2B2%5E2004%2B2%5E20)
探索:(x-1)(x+1)=x^2-1 (x-1)(x^2+x+1)=x^3-1 (x-1)(x^3+x^2+x+1)=x^4-1 (x-1)(x^探索:(x-1)(x+1)=x^2-1 (x-1)(x^2+x+1)=x^3-1 (x-1)(x^3+x^2+x+1)=x^4-1 (x-1)(x^4+x^3+x^2+x+1)=x^5-1试求:2^6+2^5+2^4+2^3+2^2+2+1的值 判断:2^2005+2^2004+2^20
探索:(x-1)(x+1)=x^2-1 (x-1)(x^2+x+1)=x^3-1 (x-1)(x^3+x^2+x+1)=x^4-1 (x-1)(x^
探索:(x-1)(x+1)=x^2-1 (x-1)(x^2+x+1)=x^3-1 (x-1)(x^3+x^2+x+1)=x^4-1 (x-1)(x^4+x^3+x^2+x+1)=x^5-1试求:2^6+2^5+2^4+2^3+2^2+2+1的值 判断:2^2005+2^2004+2^2003+……+2^2+2+1的值的个位数是几?
探索:(x-1)(x+1)=x^2-1 (x-1)(x^2+x+1)=x^3-1 (x-1)(x^3+x^2+x+1)=x^4-1 (x-1)(x^探索:(x-1)(x+1)=x^2-1 (x-1)(x^2+x+1)=x^3-1 (x-1)(x^3+x^2+x+1)=x^4-1 (x-1)(x^4+x^3+x^2+x+1)=x^5-1试求:2^6+2^5+2^4+2^3+2^2+2+1的值 判断:2^2005+2^2004+2^20
(2-1)(2^6+2^5+2^4+2^3+2^2+2+1)=2^7-1,所以2^6+2^5+2^4+2^3+2^2+2+1=2^7-1=127,
(2)同理2^2005+2^2004+2^2003+……+2^2+2+1=2^2006-1=4^1003-1,而可以发现4^n次方里,奇次方的结果个位数是4,偶次方结果个位数是6,因此,答案为4-1=3,所以个位数是3.我是南昌心桥教育的老师,希望可以帮助到您
2^6+2^5+2^4+2^3+2^2+2+1=(2^7-1)/(2-1)=2^7-1=127
2^2005+2^2004+2^2003+……+2^2+2+1=2^2006-1=4^1003-1=64*4^1000-1 尾数3
4^1000=16^500 6*6尾数6 所以4^1000尾数6
->4^1003尾数4 4^1003-1尾数3