$$a_n = frac1(n + 1)!$$
$$a_n = frac(-1)^nnn! + 1$$
What walk the exclamation note mean, and how execute I go about this differently with the exclamation mark?
You are watching: What do exclamation marks mean in math
The factorial that a number is represented by the exclamation allude (!).The factorial of a number $x$ is often described as the product that all positive integers much less then or same to $x$. Because that example:
$$4! = 4cdot3cdot2cdot1 = 24$$
It is often also useful to define $x!$ in a recursive relation:
$$x! = x(x-1)!$$
where $0! = 1$.
This method is often an excellent because the helps explain why $0!=1$ (see also the "empty product" for an ext on this). Using the over explanation, us may uncover $4!$:
$$4! = 4(3)! = 4(3)(2)! = cdots = 4(3)(2)(1)(0)! = 4(3)(2)(1)(1) = 24$$
edited Apr 9 "12 at 1:29
answer Apr 9 "12 at 0:09
23.8k1010 yellow badges8787 silver- badges128128 bronze badges
add a comment |
If the number is 4! climate you count under so it would certainly be $4 imes 3 imes 2 imes 1= 24$. An additional thing is that if the number is 7! you would count down until you acquire to two. So it would certainly be $7 imes 6 imes 5 imes 3 imes 2 =5040$ 7 x 6 x 5 x 4 x 3 x 2 I just put in the 4 the was not provided although the price is quiet 5040.
edited Apr 27 "16 at 2:46
answered might 19 "14 in ~ 23:03
Hockeylover It's actually defined recursively and also one "counts down" to $0! :=1$. $endgroup$
january 7 "15 in ~ 20:55
add a comment |
Highly energetic question. Knife 10 call (not counting the combination bonus) in order come answer this question. The reputation necessity helps safeguard this inquiry from spam and non-answer activity.
Not the answer you're spring for? Browse other questions tagged calculus real-analysis sequences-and-series notation factorial or questioning your own question.
Featured top top Meta
multiplying non-decreasing sequences
What does it average for a collection to be convergent?
~ above converging and diverging sequences and their respective arithmetic mean
What walk it mean for a function to "preserve the boundaries of sequences"?
What go this symbol average in this context?
What does 2/(e^(-x)+1) mean?
What go $(a_n)_n in A^piersonforcongress.combbN$ mean?
What walk this an interpretation of a sequence mean?
What go it typical when a succession converges?
Why walk "Turn! Turn! Turn!" equal 241217.524881?
hot Network inquiries an ext hot concerns
subscribe to RSS
question feed To subscribe to this RSS feed, copy and also paste this URL right into your RSS reader.
ridge Exchange Network
site style / logo design © 2021 stack Exchange Inc; user contributions license is granted under cc by-sa. Rev2021.11.5.40661
See more: How To Get Your Dog To Lick Your Balls Too Much? Why Dogs Lick Their Privates