Was hoping to get some thoughts on my plan to increase my runs and avoid injury. I read somewhere that it is much safer to increase frequency of runs rather than distance.

My goal is to run a 5k 5-7 days per week eventually. I started off with shorter distances earlier in the year, and have gotten here:

Week 1: 5k M/W/F (Rest Tues, Thurs, Sat, Sun)
Week 2: 5k M/W/Thu


Week 3 - *I am here*This week plan: 5k M/Tu, Thurs/Fri (Rest wed)
Week 4: Same
Week 5: 5k M/Tu/W/Thurs/Fri (Rest sat/sun)

Once I get up to running 5 days a week, I plan to rest on the weekends.

Once I get to the point of running a 5k every weekday I will kind of feel it out if I can do more, but I have family stuff on the weekends, so might be able to squeeze in 1 more if I'm lucky.

If I listen to my body and stay at, for example, 4 days a week if I feel I need more time, does this sound reasonable?

I feel like 5k is a perfect distance for me, I can listen to music or a podcast, my cardio is good so it's not too tiring, but I am a fat so I am trying to slowly get my feet, ankles, achilles, knees in better shape to handle the impact and not get hurt. My long term goal is to bet fit and healthy, and avoid injury at all costs. I have had achilles tendonitis in the past, seems to happen when I increase distance - but I don't plan to run farther than 5k as it's boring for me after 3 miles or so.

Anything I am missing or not considering here? I am also doing very light strength training on weekdays for 15-20 mins at the gym.