When I was a kid, I learnt (a+b) the whole squared and (a+b) the whole cubed formula. I would wonder why there is no formula for a^n+b^n.
Today, I am partially fulfilling this dream of mine with consecutive numbers. For, I have made a somewhat equivalent formula.
The formula is
(Kindly check the formula thoroughly before use. I have checked for two cases and found it okay.)
I am in love with this formula of mine as it mixes up consecutive numbers, factorials and binomials, all three.
I am sure you will like the above expression.
Have a very nice day !!
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