Question

Helpppp pleasee

Answer 1

Using the recursion equation, it is found that the value of the 2nd iterate is:

$x_2 = 3.16228$

What is the recursive equation?

The value of the nth iteration is given by:

$x_n = \frac{x_{n-1} + \frac{10}{x_{n-1}}}{2}$

The initial estimate is:

$x_0 = 3.1$

Hence, the 1st iterate is given by:

$x_1 = \frac{x_0 + \frac{10}{x_0}}{2} = \frac{3.1 + \frac{10}{3.1}}{2} = 3.1629$

The 2nd iterate is:

$x_2 = \frac{x_1 + \frac{10}{x_1}}{2} = \frac{3.1629 + \frac{10}{3.1629}}{2} = 3.16228$

Thus, the fourth option is correct.

You can learn more about recursive equations at brainly.com/question/6561461