Geometric Harmonic Arithmetic means from ends provided

 


Cube root of 1 x 2 x 3 = 1.81712059283
2 x 3 x 4 = 2.8844991406

  Harmonic mean 

 of 1 2 3 

is

3/(1/1+1/2+1/3)

1.63636363636

 of 2 3 4

is

3/(1/2+1/3+1/4)

2.76923076923


The Harmonic mean 

of 2 and 3 

is

2(2X3)/(2+3)

2.4


The Geometric mean 

of 2 and 3 

is

 The Square root 

of 2X3

2.44948974278


Decimal arithmetic

 permanently conflicts with 

the natural

tendencies 

of human beings

it only comes into used after being compounded

with octonary arithmetic

/1 8 = 8

aka /2  8ts = 16

/3 8 = 24

/4 8 = 32

/5 8 = 40

/6 8 = 48

/7 8 = 56

/8 8 = 64

/9 8 = 72

/10 8 = 90

/11 8 = 88

/12 8 = 96

/13 8 = 104

/14 8 = 112

/15 8 = 120

/16 8 = 128

/17 8 = 136

/18 8 = 144

/19 8 = 152

/20 8 = 160

The products of all numbers are the sums of the multiples

of powers of two

compounding each one to each other

/1 2 = 2

/2 2 = 4

/4 2 = 8

/8 2 = 16 +~30

/1 3 = 3

/2 3 = 6

/4 3 = 12

/8 3 = 24 +~45


/1 4 = 4

/2 4 = 8

/4 4 = 16

/8 4 = 32 +~60


/1 5 = 5

/2 5 = 10

/4 5 = 20

/8 5 = 40 +~75


/1 6 = 6

/2 6 = 12

/4 6 = 24

/8 6 = 48 +~90


/1 7 = 7

/2 7 = 14

/4 7 = 28

/8 7 = 56 +~105


/1 8 = 8

 /2  8 = 16 +~24

/4 8 = 32 +~56

/8 8 = 64 +~120


/1 9 = 9

/2 9 = 18

/4 9 = 36

/8 9 = 72 +~135


/1 10 = 10

/2 10 = 20

/4 10 = 40

/8 10 = 80+~150


/1 11 = 11

/2 11 = 22

/4 11 = 44

/8 11 = 88 +~165


/1 12 = 12

/2 12 = 24

/4 12 = 48

/8 12 = 96 +~180






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