计算 (10 19:34:46)(x-1)(x+i)=x2-1(x-1)(x2+x+1)=x3-1(x-1)(x3+x2+x+1)=x4-1根据各式的规律,可推测:(x-1)(xn-1+xn-2+.+x+1)=                  &

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计算 (10 19:34:46)(x-1)(x+i)=x2-1(x-1)(x2+x+1)=x3-1(x-1)(x3+x2+x+1)=x4-1根据各式的规律,可推测:(x-1)(xn-1+xn-2+.+x+1)=                  &
计算 (10 19:34:46)
(x-1)(x+i)=x2-1
(x-1)(x2+x+1)=x3-1
(x-1)(x3+x2+x+1)=x4-1
根据各式的规律,可推测:
(x-1)(xn-1+xn-2+.+x+1)=                        .
根据你的结论计算:1+2+22+23+.+298+299=                              .

计算 (10 19:34:46)(x-1)(x+i)=x2-1(x-1)(x2+x+1)=x3-1(x-1)(x3+x2+x+1)=x4-1根据各式的规律,可推测:(x-1)(xn-1+xn-2+.+x+1)=                  &
1+2+2^2+2^3+.+2^98+2^99
=(2^100-1)/(2-1)
=2^100-1