This educational video provides a clear, step-by-step guide on how to write the explicit formula for arithmetic sequences. Hosted by an instructor named Justin, the lesson builds upon previous knowledge of finding terms to now constructing the formula itself from a given sequence of numbers. The video breaks down the specific components of the formula $a_n = d(n-1) + a_1$, identifying what each variable represents and emphasizing that only the first term and the common difference are needed to write the general equation.