Math Problem Statement

An iterative formula is shown below: x_(n+1) = (1 / x_n) + 3. Starting with x_1 = 5, calculate the value of x_3 to 2 decimal places.

Solution

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Math Problem Analysis

Mathematical Concepts

Iterative methods
Sequences

Formulas

x_(n+1) = (1 / x_n) + 3

Theorems

Convergence of iterative sequences

Suitable Grade Level

Grades 10-12