Be careful with a trickle charger, especially the cheap ones, I destroyed a new battery with one around 2-3 years ago. A true battery tender will work much better.
I agree with the previous comments regarding the age of the battery and the possibility of a parasitic load. If you have or can borrow a digital voltmeter, use some long leads and clip directly on the battery, you should have around 12.5 VDC at rest. Now take the cart out for a ride with the voltmeter still connected, you should get 13.5 to possibly 14.5 VDC which would indicate the starter/generator is working. Last test, back at your house, disconnect one of the battery leads, set the digital voltmeter up for DC amps, and connect the meter from the battery terminal to the disconnected lead, you should have 0 amps. If you get a reading, then something on your cart is still on. In the past the speedometer was reported to be the main culprit since these can be wired to be on all the time.
If you do not have access to this equipment or are concerned about doing these measurements, send me a PM and I can help.
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Pennsylvania, for 60+ years, most recently, Allentown, now TV. 
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