issue #10837 Move fib_recursive_term() outside of fib_recursive() for proper doctest coverage and improved code organization.

[MannCode]

issue #10837

Describe your change:

Move fib_recursive_term() outside of fib_recursive() for proper doctest coverage and improved code organization.

• [ ] Add an algorithm?
• [-] Fix a bug or typo in an existing algorithm?
• [ ] Add or change doctests? -- Note: Please avoid changing both code and tests in a single pull request.
• [ ] Documentation change?

Checklist:

• [- ] I have read CONTRIBUTING.md.
• [- ] This pull request is all my own work -- I have not plagiarized.
• [- ] I know that pull requests will not be merged if they fail the automated tests.
• [- ] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms.
• [- ] All new Python files are placed inside an existing directory.
• [- ] All filenames are in all lowercase characters with no spaces or dashes.
• [- ] All functions and variable names follow Python naming conventions.
• [- ] All function parameters and return values are annotated with Python type hints.
• [- ] All functions have doctests that pass the automated testing.
• [- ] All new algorithms include at least one URL that points to Wikipedia or another similar explanation.
• [- ] If this pull request resolves one or more open issues then the description above includes the issue number(s) with a closing keyword: "Fixes #ISSUE-NUMBER".