Find the rule of a sequence when you have rational terms

The video tutorial explains how to find a formula for a sequence by analyzing each term. It emphasizes separating the numerator and denominator when dealing with fractions. The process involves calculating the numerator by adding one to each term and determining the denominator by multiplying by two and subtracting one. The final rule for the sequence is derived from these calculations.

Explain the process of finding the next term in the sequence.

What is the rule derived for the function discussed in the text?