计算 (1+1/2)(1+1/2的平方)(1+1/2的四次方)(1+1/2的八次方)+ 1/2的十五次方

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计算 (1+1/2)(1+1/2的平方)(1+1/2的四次方)(1+1/2的八次方)+ 1/2的十五次方
计算 (1+1/2)(1+1/2的平方)(1+1/2的四次方)(1+1/2的八次方)+ 1/2的十五次方

计算 (1+1/2)(1+1/2的平方)(1+1/2的四次方)(1+1/2的八次方)+ 1/2的十五次方
(1+1/2)(1+1/2的平方)(1+1/2的四次方)(1+1/2的八次方)+ 1/2的十五次方
=(1-1/2)(1+1/2)(1+1/2的平方)(1+1/2的四次方)(1+1/2的八次方)/(1-1/2)+ 1/2的十五次方
=(1-1/2²)(1+1/2的平方)(1+1/2的四次方)(1+1/2的八次方)/(1-1/2)+ 1/2的十五次方
=(1-1/2的4次方)(1+1/2的四次方)(1+1/2的八次方)/(1-1/2)+ 1/2的十五次方
=(1-1/2的8次方)(1+1/2的八次方)/(1-1/2)+ 1/2的十五次方
=(1-1/2的16次方)×2+ 1/2的十五次方
=2-1/2的15次方+1/2的15次方
=2