how do i connect my seventh gen ipod to my car which has the cable for the sixth generation ipod

My sixth gen ipod was finally working in my 2010 MB 550 coupe.It required a new cable because of the different charging system of the ipod(it wouldn't charge-lasted about 15 minutes)..Now I replaced my broken ipod with the new generation seven which has a totally different power plug...Will that 30 pin to Lightning connector solve my problem?

Lightning to 30-pin Adapter

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