1/2 + 1/4 + 1/8 + 1/16+ 1/32 + 1/64 + 1/128
= 64/ 128 + 32/128 + 16/128 +8/128 + 4/128 +2/128 + 1/128
= ( 64 + 32 + 16 + 8 + 4 + 2 + 1 ) /128
= 127/ 128
= 1 - 1/2 + 1/2 - 1/4 + 1/4 - ............ + 1/64 - 1/128
= 1 - 1/128
= 127/128
k nha bn
Đặt A= 1/2+1/4+1/8+1/16+1/32+1/64+1/128
2A=1+1/2+1/4+1/8+1/16+1/32+1/64
2A-A=(1+1/2+1/4+1/8+1/16+1/32+1/64)-(1/2+1/4+1/8+1/16+1/32+1/64+1/128)
A=1-1/128=127/128
Đặt A= 1/2+1/4+1/8+1/16+1/32+1/64+1/128
Khi đó ta có: 2A=1+1/2+1/4+1/8+1/16+1/32+1/64
=> 2A-A=(1+1/2+1/4+1/8+1/16+1/32+1/64)-(1/2+1/4+1/8+1/16+1/32+1/64+1/128)
=> A=1-1/128
=> A = 127/128
\(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}+\frac{1}{128}=\frac{64}{128}+\frac{32}{128}+\frac{16}{128}+\frac{ }{ }\)\(+\frac{8}{128}+\frac{4}{128}+\frac{2}{128}+\frac{1}{128}\)\(=\frac{127}{128}\)
1/2+1/4+1/8+1/16+1/32+1/64+1/128=127/128
k nha
1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128
= 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128
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1/2 + 1/4 + 1/8 + 1/16 + 1/32 +1/64 +1/128 ( Đấy là rút gọn cho nhanh đấy nhé không phải là gạch bỏ đâu )
= 1 - 1/128
= 127/128