127/128

      \(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}+\frac{1}{128}\)

\(=\frac{1x64}{2x64}+\frac{1x32}{4x32}+\frac{1x16}{8x16}+\frac{1x8}{16x8}+\frac{1x4}{32x4}+\frac{1x2}{64x2}+\frac{1}{128}\)

\(=\frac{64}{128}+\frac{32}{128}+\frac{16}{128}+\frac{8}{128}+\frac{4}{128}+\frac{2}{128}+\frac{1}{128}\)

\(=\left(\frac{64}{128}+\frac{1}{128}\right)+\left(\frac{32}{128}+\frac{8}{128}\right)+\left(\frac{16}{128}+\frac{4}{128}\right)\)

\(=\frac{65}{128}+\frac{40}{128}+\frac{20}{128}\)

\(=125\)

nhầm , phải bằng\(\frac{125}{128}\)mới đúng

(cách làm ở dưới)

   \(1-\frac{1}{2}-\frac{1}{4}-\frac{1}{8}-\frac{1}{16}-\frac{1}{32}\)\(-\frac{1}{64}\)

\(=1-\frac{32}{64}-\frac{16}{64}-\frac{8}{64}-\frac{4}{64}\)\(-\frac{2}{64}-\frac{1}{64}\)

  \(=1-\left(\frac{32}{64}-\frac{16}{64}-\frac{8}{64}-\frac{4}{64}-\frac{2}{64}-\frac{1}{64}\right)\)

\(=1-\frac{1}{64}\)

\(=\frac{64}{64}-\frac{1}{64}\)

\(=\frac{63}{64}\)

= 1/64 nha

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

Đặt A = ( 3 + 1 )( 3² + 1 )( 3⁴ + 1 )( 3⁸ + 1 )( 3¹⁶ + 1 )( 3³² + 1 )

=> 2A = 2.( 3 + 1 )( 3² + 1 )( 3⁴ + 1 )( 3⁸ + 1 )( 3¹⁶ + 1 )( 3³² + 1 )

          = ( 3 - 1 )( 3 + 1 )( 3² + 1 )( 3⁴ + 1 )( 3⁸ + 1 )( 3¹⁶ + 1 )( 3³² + 1 )

          = ( 3² - 1 )( 3² + 1 )( 3⁴ + 1 )( 3⁸ + 1 )( 3¹⁶ + 1 )( 3³² + 1 )

          = ( 3⁴ - 1 )( 3⁴ + 1 )( 3⁸ + 1 )( 3¹⁶ + 1 )( 3³² + 1 )

          = ( 3⁸ - 1 )( 3⁸ + 1 )( 3¹⁶ + 1 )( 3³² + 1 )

          = ( 3¹⁶ - 1 )( 3¹⁶ + 1 )( 3³² + 1 )

          = ( 3³² - 1 )( 3³² + 1 )

          = 3⁶⁴ - 1

2A = 3⁶⁴ - 1 => A = \(\frac{3^{64}-1}{2}\)

toán 6 nha:

A=1/2+1/4+1/8+1/16+1/32+1/64+1/28

1/128+A=1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/128

1/128+A=1/2+1/4+1/8+1/16+1/32+1/64+1/64

1/128+A=1/2+1/4+1/8+1/16+1/32+1/32

1/128+A=1/2+1/4+1/8+1/16+1/16

1/128+A=1/2+1/4+1/8+1/8

1/128+A=1/2+1/4+1/4

1/128+A=1/2+1/2

1/128+A=1

A=1-1/128

a=127/128

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

A=127/128

A = 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128

suy ra: 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

hok tốt

Dây nè nhớ nghe                                                                                                                                                                                =  1-1/2+1/2-1/4+1/4-1/8+1/8-1/16+1/16-1/32+1/32-1/64+1/64-1/128                                                                                                                   =1-1/128                                                                                                                                                                                                                  = 127/128

D=1/2-1/32=15/32

E=1/1X2+1/2X3+1/3X4+1/4X5+1/5X6

E=1/1-1/6=5/6

K MÌNH NHA

\(\dfrac{1}{4}:0,25-\dfrac{1}{8}:0,125+\dfrac{1}{2}:0,5-\dfrac{1}{16}:0,0625\\ =0,25:0,25-0,125:0,125+0,5:0,5-0,0625:0,0625\\ =1-1+1-1\\ =0+1-1\\ =1-1\\ =0\)

1/4:1/4-1/8:1/8+1/2:1/2-1/16:1/16

=1-1+1-1 

=0