Math tutorial for writing the explicit formula of a sequence

The video tutorial explores how to derive a formula using different mathematical operations. Initially, multiplication and addition are tested but found insufficient. The process involves trial and error with various combinations, ultimately leading to the correct formula: 4n - 1. The tutorial emphasizes understanding the logic behind each step and encourages mental calculations to find solutions.

How does multiplying by 4 and subtracting 1 help in finding the correct output?

Describe the final formula derived for the problem.