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

问题描述:

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...