1 / 2 + 1 / 4 + 1 / 8 + 1 / 16 + 1 / 32 + 1 / 64 simple operation, write out the specific process

1 / 2 + 1 / 4 + 1 / 8 + 1 / 16 + 1 / 32 + 1 / 64 simple operation, write out the specific process

1/2+1/4+1/8+1/16+1/32+1/64=1/2+1/4+1/8+1/16+1/32+1/64+1/64-1/64=1/2+1/4+1/8+1/16+1/32+1/32-1/64=1/2+1/4+1/8+1/16+1/16-1/64=1/2+1/4+1/8+1/8-1/64=1/2+1/4+1/4-1/64=1/2+1/2-1/64=1-1/64=63/64

Simple calculation of 1 / 2 + 1 / 4 + 1 / 8 + 1 / 16 + 1 / 32 +... + 1 / 1024

Hello: 1 / 2 + 1 / 4 + 1 / 8 + 1 / 16 + 1 / 32 +... + 1 / 1024 = (1-1 / 2) + (1 / 2-1 / 4) + (1 / 4-1 / 8) + (1 / 8-1 / 16) +（1/152-1/1024）=1-1/2+1/2-1/4+1/4-1/8+1/8-1/16………… +1/152-1/1024=1-1/1024=1023/1024...

1-1 / 2-1 / 4-1 / 8-1 / 16-1 / 32 -. - 1 / 512-1 / 1024 (simple calculation)

1-1 / 2-1 / 4-1 / 8-1 / 16-1 / 32 - -1 / 1024 = 1 / 2 - (1 / 2-1 / 4) - (1 / 4-1 / 8) - (1 / 8-1 / 16) - (1 / 16-1 / 32) -... (1 / 512-1 / 1024) = 1 / 2-1 / 2 + 1 / 4-1 / 4 + 1 / 8-1 / 8 + 1 / 16-1 / 16 + 1 / 32 -... - 1 / 512 + 1 / 1024 = 1 / 1024, hope to help you

1 + 2 + 4 + 8 + 16 + 32 + ···· + 1024 =? Simple calculation

1+2+4+8+16+32+·····+1024
=1024×2—1
=2047