$$a_n = \frac1(n + 1)!$$
&
$$a_n = \frac(-1)^nnn! + 1$$
What go the exclamation note mean, and also how perform I go around this in different way with the exclamation mark?
You are watching: What does a exclamation mark mean in math
The factorial that a number is represented by the exclamation point (!).The factorial of a number $x$ is often explained as the product that all optimistic integers much less then or same to $x$. Because that example:
$$4! = 4\cdot3\cdot2\cdot1 = 24$$
It is often likewise useful to describe $x!$ in a recursive relation:
$$x! = x(x-1)!$$
where $0! = 1$.
This method is often good because the helps define why $0!=1$ (see likewise the "empty product" for more on this). Using the over explanation, us may discover $4!$:
$$4! = 4(3)! = 4(3)(2)! = \cdots = 4(3)(2)(1)(0)! = 4(3)(2)(1)(1) = 24$$
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edited Apr 9 "12 at 1:29
Michael hardy
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answer Apr 9 "12 in ~ 0:09
ArgonArgon
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If the number is 4! climate you count down so it would certainly be $4\times 3 \times 2\times 1= 24$. Another thing is the if the number is 7! you would count down till you get to two. Therefore it would certainly be $7\times 6\times 5\times 3\times 2 =5040$ 7 x 6 x 5 x 4 x 3 x 2 I just put in the 4 that was not listed although the prize is tho 5040.
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edited Apr 27 "16 at 2:46
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answered may 19 "14 in ~ 23:03
HockeyloverHockeylover
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Hockeylover It's actually characterized recursively and one "counts down" to $0! :=1$. $\endgroup$
–user137731
january 7 "15 at 20:55
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