Question

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

Answer 1

Step-by-step explanation:

in newton rapson method

$x_{n+1}=x_{n}-\frac{f\left(x_{n}\right)}{f^{\prime}\left(x_{n}\right)}$

Let $n=n-1$

$x_{(n-1)+1}=x_{n-1}-\frac{f\left(x_{n-1}\right)}{f^{\prime}\left(x_{n-1}\right)}$

$x_{n}=x_{n-1}-\frac{f\left(x_{n-1}\right)}{f^{\prime}\left(x_{n-1}\right)}$