Can you find the next number in the following series ?
2 , 0 , 3 , 5 , 25 , 119 , ?
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1 Answer
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The answer is
721
Because
$$2 = 0! +(-1)^0 = 1 + 1$$ $$0 = 1! + (-1)^1 = 1 - 1$$ $$3 = 2! + (-1)^2 = 2 + 1$$ $$5 = 3! + (-1)^3 = 6 - 1$$ $$25 = 4! + (-1)^4 = 24 + 1$$ $$119 = 5! + (-1)^5 = 120 - 1$$ So, $$6! + (-1)^6 = 720 + 1 = 721$$.
answered Feb 1, 2019 at 7:54