but if there is possibility to have every other LED lit that would be great
But then your making a 72 led per meter strip out of a 144 led strip. They are sellers of 72 led per meter strips, Would it not be easier to get a different count led strip, say a 60 led per meter (which I think is more then enough for ambient TV lights) and save the 144 strip for another project?
Just my 2cents.