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Using Newton's Method, what is the formula for determining the nth term in a sequence of approximations to a solution of a polynomial equation

Respuesta :

Manetho

Step-by-step explanation:

in newton rapson method

[tex]x_{n+1}=x_{n}-\frac{f\left(x_{n}\right)}{f^{\prime}\left(x_{n}\right)}[/tex]

Let [tex]n=n-1[/tex]

[tex]x_{(n-1)+1}=x_{n-1}-\frac{f\left(x_{n-1}\right)}{f^{\prime}\left(x_{n-1}\right)}[/tex]

[tex]x_{n}=x_{n-1}-\frac{f\left(x_{n-1}\right)}{f^{\prime}\left(x_{n-1}\right)}[/tex]

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