(1+1/2)(1+1/2²)(1+1/2³)(1+1/2的四次幂)(1+1/ 2的八次幂)+1/2的15次幂

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/25 17:25:38
(1+1/2)(1+1/2²)(1+1/2³)(1+1/2的四次幂)(1+1/2的八次幂)+1/2的15次幂(1+1/2)(1+1/2²)(1+1/2³)(1+

(1+1/2)(1+1/2²)(1+1/2³)(1+1/2的四次幂)(1+1/ 2的八次幂)+1/2的15次幂
(1+1/2)(1+1/2²)(1+1/2³)(1+1/2的四次幂)(1+1/ 2的八次幂)+1/2的15次幂

(1+1/2)(1+1/2²)(1+1/2³)(1+1/2的四次幂)(1+1/ 2的八次幂)+1/2的15次幂
(1+1/2)(1+1/2²)(1+1/2³)(1+1/2的四次幂)(1+1/ 2的八次幂)+1/2的15次幂
=2(1-1/2)(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)+1/2^15
=2*(1-1/2^16)+1/2^15
=2-1/2^15+1/2^15
=2