Battery problem My camera is about 6 months old. Dead battery. Put in new ones, more new ones and charged, rechargable batteries. The camera immediately says ,change the battery and turns off...

check the mhr on the batteries you use
they should be re-chargeable batteries as alkaline batteries do not have what it takes and run down very quickly
the re-chargeable battery should be around the 2000 mhr rating

Yes the can go bad.
I still have 9 year old Kodak lithium batteries in good condition, nut I know sometimes my rechargeable batteries last no longer then a year. It is a shame that some camera brands only give a 90 day warranty on the batteries.
To keep your rechargeable batteries in a good condition, give them a charge at least every 3 months. Or always a day before you need the camera. Never try to use speed chargers. I still have a charger capable of charging full within 15 minutes. The barrettes are hot, and when charged that way after 10 or 20 times they are dead.
Just use the charger that came with your camera.
But if you only can shoot a few shote with your battery, buy a new battery.

The FS62 is about a three year old camera. If your battery is as old as the camera, I would highly suspect that is your problem (it's done, time for a new battery). Rechargeables are only meant to last a couple years max. Here's one, and here's another from Amazon (a little over 6 bucks with free shipping).

batteries fail over time and should be replaced even rechargeable batteries
never change just one battery as it will discharge into the flat battery
keep the batteries full charged at all times and remove them from the camera when not in use

There are a lot of Fuji digital cameras if "we" knew what model it was you would possible get more then just a guess. My guess is that the batteries (if it uses AA's) are either Alkaline type and dead on power OR if they are rechargeable they are not installed properly all it takes is one battery to be put in the wrong way and nothing works. The charger on some models can bypass the battery circuit to operate entirely on AC power and charge batteries at the same time. Check your batteries if they are Alkaline type AA's then you can't recharge them. Check make sure if you have rechargeable type that they are in correctly.

Check batery type suitble for your camera, also ensure correctly installed(+ -) Check contacts are clean

i think the red light means low power for battery... maybe just maybe your battery didnt really charge.. im not saying that its the charger, but try to buy a new rechargeable batteries, use it then charge it and compare it with the other one... i think thats the problem with batteries if we stop using it for a long time... hope ull be able to resolve it

Okay, well depending on the batteries it has different amounts of time you should charge it for, the packet of the rechargeable batteries should tell you this. Check this first because you may be charging it the incorrect amount it needs.
Ask in store you brought it from if you aren't sure.

The best way to tell if it is a battery problem would be to charge them fully then use the camera and see how long they keep working as compared to what their specs are (probably in your camera info). It is also possible that the charger is at fault, which can be tested by measuring the output of the charger with a meter, or check to make sure the charger is the proper one for those batteries ("quick" chargers may need special batteries, etc.). If your camera can use alkaline batteries of the same type, try new ones and see if it still says "low" -- if so then it could be the camera. Hope this helps. If not, check your camera website and try troubleshooting there.

I figured out the problem. My AA battery recharger was not making good contact, so although it said the batteries were recharged, this was not the case. After fixing this and getting full recharges, the problem went away.