What is an estimate of the solution of the equation 6n 3=2 using a table

I presume that it is 6*n^3=2

or n^3 =2

n= 2^(1/3)

1^3=1

2^3=8

2 is closer to 1

next approximation is 1.5

1.5^3 =3.375

next approximation is (1+1.5)/2= 1.25

1.2^3 =1.728

next approximation is (1.2+1.25)/2=1.2125

or

6n-3=2

6n=5

n=5/6

6n+3=2

6n= -1

n= -1/6

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