Some stabilizer is necessary in an outdoor pool or else you can't keep chlorine in there. Stabilizer -- CYA (cyanuric acid) is kind of like sunscreen for your chlorine. Trichlor tabs (whether in a chlorinator or in a floater) have CYA in them. If you use them too long, your CYA level gets too high and that is not good. The higher your CYA level, the higher the chlorine levels you need in a pool to keep algae away. Many people don't realize this and they end up with algae even though they are keeping their chlorine levels at the same level they always have. We see this all the time. (See the Best Guess Chlorine Chart in my signature below for more about the correlation between CYA and chlorine.)

Whether or not you can use the trichlor tabs for awhile depends on what your current CYA level is. Do you have a test kit that can test CYA? The kit we recommend is the Taylor K-2006 or 2006C which you can get through the test kit page link in my signature. But, it is only available online, so you need a kit to use in the meantime. Go to Walmart and see if they have the HTH 6-Way kit (not test strips). That one will suffice until you can order a better kit and it can test CYA levels. If they don't have it, at least pick up a cheap OTO/Phenol Red kit (red and yellow drops). This kit cannot test CYA though. If the OTO kit is all you can get, go to a reputable pool store and ask them to do a CYA test for you. Tell them you want them to use the "disappearing black dot test" and not teststrips. Report back with all test results.

Please list all the ingredients on the trichlor tabs you are using.

Also, please fill out our pool chart with your pool's information. This will make it easier for us to help you.
Pool Chart Entry Form
Pool Chart Results
Hope this helps.