Hello, I’m Nathan, and I’ll be assisting you today. My livelihood depends on your positive feedback, so your satisfaction is my highest priority.
Sorry to hear you’re having trouble.
The short answer is no, this won't work.
Your jambox is a bluetooth speaker, and tvs don't have that type of bluetooth connectivity. Even for tvs that do have bluetooth it is for streaming input from a phone/tablet, or remote control. It will not output audio except in very special circumstances and even then it would only pair with very specific make/model. For example an lg tv would only pair with 1 or 2 specific LG soundbar systems.
The long answer is that you can make this work, but need some extra equipment to do so.
The reason for this is that all modern tv's are digital, and because of copyrights and digital rights management/copy protection, so tv's cannot have any analog outputs, which is what a headphone jack would be.
The way around this is to use the Digital Audio Out port on the back of the tv. This is a square type port with a little flap/door over it and a red light inside. You connect a fiber optical cable to it. You'll need to purchase a digital to analog converter: http://amzn.to/1VhPiQx . This will convert the optical connection to an analog stereo connection (red/white rca ports). To that, you can then connect rca cables to the base unit for a wireless headphone transmitter, or if needed use a stereo to minijack adapter to plug in a standard headphone jack to connect to the aux input on the jambox, but this would be a corded connection.
An alternate option would be to still use the above, but also with the addition of a bluetooth transmitter: http://amzn.to/1mIEBKM
Or you can buy a combined converter/transmitter if you only ever intent to use bluetooth: http://amzn.to/1VoCisv