Publishing mathematics research(which I believe is already there)

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I am a class 12th student, and over the past year have researched quite a lot on sequences and series, and developed a formula to predict :

  1. The n-th term of a series
  2. The sum to n terms of the series
  3. Arthimetic and Geometric means of the series
  4. And the proof of all the above

After all this was formulated, and I hadn't found yet that this formula was there or not, I wanted to send it for publishing to a journal, and still want to do so.

But:

When I was wandering a day on stackexchange when I saw several questions being solved using the same formula. On further investigation, I found that the formula I had developed was called Binomial Transforms(or more correctly its inverse). Can I still send it for publishing, alongwith all other small things, and showing how to implement it to sequences and series, provided I give them the derivation of the formula(to show I have developed it too), or anything else can I do about it?