Mix a solution of bleach and warm water. Use ¾ cup of bleach for each gallon on water. Household chlorine bleach will do the job. If you have concerns about the environment, use oxygen bleach instead. Avoid bleaches that gel or become thick since it tends to sit in one spot. This will make it harder to give the surface an even cleaning.
Pour the solution onto the pathway and let it sit. After about five minutes use a broom or scrub brush with thick, hard bristles to work the solution into the pathway. If you have a large pathway, work in sections so that you can control the amount of bleach on the pathway.
Rinse the bleach solutions from the pathway with water from a garden hose.
Repeat the process two or three times if necessary to remove all of the algae.