(1 1/2)乘以(1 1/2^2)乘以(1 1/2^4)乘以(1 1/2^8) 1/2^16 得多少?
(1 +1/2)(1+ 1/2^2)(1 +1/2^4)(1 +1/2^8)( 1/2^16 )
=(1-1/2)(1 +1/2)(1+ 1/2^2)(1 +1/2^4)(1 +1/2^8)( 1/2^16 )/(1-1/2)
=(1- 1/2^2)(1+ 1/2^2)(1 +1/2^4)(1 +1/2^8)( 1/2^16 )/(1-1/2)
=。 。。
=(1-1/2^32)/(1-1/2)
=2-1/2^31
。
(1 +1/2)(1+ 1/2^2)(1 +1/2^4)(1 +1/2^8)( 1/2^16 )
=(1-1/2)(1 +1/2)(1+ 1/2^2)(1 +1/2^4)(1 +1/2^8)( 1/2^16 )/(1-1/2)
=(1- 1/2^2)(1+ 1/2^2)(1 +1/2^4)(1 +1/2^8)( 1/2^16 )/(1-1/2)
=。
。。
=(1-1/2^32)/(1-1/2)
=2-1/2^31
。收起