This segment details the first case of the Master Theorem where the coefficient 'a' equals 1. The speaker explains how, in this scenario, the solution to the recurrence relation is obtained by multiplying the function f(n) by n. This is illustrated with examples and clarifies the impact of 'a' on the overall complexity. The explanation transitions smoothly into the next case, setting the stage for a comprehensive understanding of the theorem. This summarizes recurrence relations of the form T(n) = aT(n-b) + f(n), where a, b > 0 and f(n) = O(nᵏ). If a=1, T(n) = O(nᵏ⁺¹). If a>1, T(n) = O(aⁿ/ᵇf(n)). If a<1, T(n) = O(f(n)). This is derived empirically from solved examples.