1/2(1+1/2)(1+1/4)(1+1/16)(1+1/256)+2的十六次方分之一 用简便方法怎么做

(1/2)(1+1/2)(1+1/4)(1+1/16)(1+1/256) +1/2^16=(1-1/2)(1+1/2)(1+1/4)(1+1/16)(1+1/256) +1/2^16=(1-1/4)(1+1/4)(1+1/16)(1+1/256) +1/2^16=(1-1/16)(1+1/16)(1+1/256)+1/2^16=(1-1/256)(1+1/256) +1/2^16=1-1/2^16...