Question

(3分之1+6分之1+12分之1+24分之1+48分之1+96分之1+192分之1+384分之1)*128简便计算

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Answer 1

(3分之1+6分之1+12分之1+24分之1+48分之1+96分之1+192分之1+384分之1)*128=85

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过程

Answer 2

( 1/3 + 1/6 + 1/12 + 1/24 + 1/48 + 1/96 + 1/192 + 1/384 ) X 128
= 1/3 X ( 1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 ) X 128
= 1/3 X ( 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 )
= 1/3 X ( 256 - 1 )
= 1/3 X 255
= 85

Answer 3

计算：(1/3+1/6+1/12+1/24+1/48+1/96+1/192+1/384)*128
=1/3*128+1/6*128+1/12*128+1/24*128+1/48*128+1/96*128+1/192*128+1/384*128
=1/3*128+1/3*64+1/3*32+1/3*16+1/3*8+1/3*4+1/3*2+1/3*1
=1/3(128+64+32+16+8+4+2+1)
=1/3*255
=85