Fall seeding or feeding

I live in NJ, four 3 weeks ago I core aerated and seeded. I'm now seeing commercial to feed my lawn with some Scotts product. My question is this: Should I feed my yard now or is this just their way to sell some of their fertilizer?
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Peter Pan wrote:

it slowly feeds your lawn during a period when the turf is getting ready to become dormant. Then in the spring, as soon as the turf needs it, the fertilizer is still there to give the turf an added boost. A true winterizing fertilizer will provide a higher percentage phosphorus and potassium and less nitrogen. The phosphorus and potassium is for root growth and disease resistance. Snow mold is a problem that is alleviated by these. Nitrogen tends to encourage top growth and this you don't need at this time of year so it should be slow release so it will be there in the spring.
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Even better would have been to put down starter fertilizer when u seeded, then follow up with a fall type product 6 weeks later.
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I did the sarter fertilizer when I seeded, next step I guess is the winterizer Thanks for the help
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