What approach would likely use a step-by-step formula to arrive at a solution?

The correct answer, an algorithm, refers to a methodical, logical rule or procedure that guarantees solving a particular problem. Algorithms are systematic and often involve following a specific set of steps that can be repeated, which is especially useful in solving complex problems where precision is necessary.

In this context, an algorithm functions much like a recipe that guides you through each phase until you reach the desired outcome. For instance, mathematical calculations or computer programming often rely on algorithms to ensure that the solutions are accurate and reliable.

In contrast, heuristics, divergent thinking, and intuition do not rely on such rigorous, step-by-step processes. Heuristics are more about mental shortcuts which can speed up problem-solving but don't guarantee a perfect outcome. Divergent thinking encourages a broad and creative exploration of ideas rather than following a linear path to a solution. Intuition involves gut feelings or instincts that arise without conscious reasoning or method. Each of these approaches can be useful in different scenarios, but they lack the structured nature inherent in algorithms.