Mathematics
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OpenStudy (dls):
Find the sum to n series..
1*2*3+2*3*4+3*4*5....
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Parth (parthkohli):
You mean like \(1! + 2! + 3! \cdots n!\)?
OpenStudy (dls):
\[\LARGE n(n+1)(n+2)(n+3)(n+4)(n+5)(n+6)(n+7)(n+8)(n+9(\]
OpenStudy (anonymous):
720 so far
OpenStudy (anonymous):
oh never mind
Parth (parthkohli):
:-O
Don't intimidate me
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OpenStudy (dls):
You re now intimidated.
OpenStudy (dls):
omg my DP is looking so cool cant believe :P
OpenStudy (anonymous):
well than
Parth (parthkohli):
I don't get any of it. Do you just want it from \(n\) till \(n + 9\)?
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OpenStudy (anonymous):
lol
Parth (parthkohli):
:O
If \(n \le 0 \) then \(0\). Otherwise, it diverges.
OpenStudy (dls):
nahi aata to try mat kar:P
Parth (parthkohli):
Arrey, sach mein!
OpenStudy (dls):
I know a/1-r not talking bout that
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Parth (parthkohli):
Arrey, mujhe bhi pata hai =_=
Parth (parthkohli):
You are looking for \(n(n + 1)(n + 2)(n + 3)\cdots (n + \infty)\)
OpenStudy (dls):
:)
Parth (parthkohli):
\[= \begin{cases} 0 : n \le 0 \\ \infty : n > 0 \end{cases}\]
Parth (parthkohli):
OK? :-)
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OpenStudy (dls):
yes
Parth (parthkohli):
:-)
OpenStudy (dls):
answer is
n(n+1)(n+2)(n+3)(n+4)/4 -_-
OpenStudy (dls):
@yrelhan4 ye bataega ab!!
Parth (parthkohli):
What? The answer to \(n(n + 1)(n + 2)(n + 3)\cdots(n + \infty)\)? =_=
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OpenStudy (dls):
dude rehne de :P
OpenStudy (dls):
@RnR
Parth (parthkohli):
sorry, wrong browser lol
OpenStudy (anonymous):
hmm. sochne de..
OpenStudy (dls):
ncert..1st ques~~~~~:P
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Parth (parthkohli):
\[1(1 + 1)(1 +2)(1 + 3)(1 + 4)\cdots = \dfrac{1(1 + 1)(1 + 2)(1 + 3)}{3}\]? -_-
Parth (parthkohli):
Oh wait...
OpenStudy (dls):
dude rehne de
OpenStudy (anonymous):
kisi ne wish you were here suna hai?
OpenStudy (dls):
samaj gaya?:P no
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Parth (parthkohli):
:')
Parth (parthkohli):
What do you mean by "what is the sum to n series"? =_=
OpenStudy (anonymous):
ek baar question check kar... galat lag rha hai..
Parth (parthkohli):
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
OpenStudy (dls):
FIXED :P
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Parth (parthkohli):
Ah.\[1(1 + 1)(1 + 2) + 2(2 + 1)(2 + 2) + 3(3 +1)(3 + 2)\cdots n(n + 1)(n + 2)\]
OpenStudy (anonymous):
bbye. (y)
aur mereko maths vale question me aage se sirf tag krna. answer mat puchna. :/
OpenStudy (dls):
arre?
Parth (parthkohli):
\[n(n + 1)(n + 2) = n(n^2 + 3n + 2) = n^3 + 3n^2 + 2n\]
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Parth (parthkohli):
\[\sum_{n = 1}^{k} k^3 + 3k^2 + 2k\]
OpenStudy (dls):
k^3 ka expansion kaise kiya
OpenStudy (anonymous):
mai sachi bataun...... mereko 1*2*3*3*5*6 lagaa tha. :o
Parth (parthkohli):
Arrey, yeh main time waste kar raha hoon
@RnR ki link dekho @DLs
OpenStudy (anonymous):
dang..
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OpenStudy (dls):
lol..niceone @RnR :P
OpenStudy (dls):
how do i expand K^3
OpenStudy (anonymous):
K^3 ka summation kya hota hai?
Parth (parthkohli):
\[\left(1^3 + 2^3 + 3^3 \cdots n^3\right) = \left(1^2 + 2^2 + 3^2 \cdots n^2\right)^2\]
OpenStudy (dls):
wahi?to/?
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OpenStudy (anonymous):
arre sahi bata rha hun. nhi manna na mano..
Parth (parthkohli):
So\[\sum_{k = 1}^{n} k^3 =\left(\dfrac{k(k + 1)}{2}\right)^2\]
OpenStudy (dls):
how
OpenStudy (dls):
wahi main question hai :/
Parth (parthkohli):
Oops.\[\left(\dfrac{k(k + 1)(2k + 1)}{6}\right)^2 \]
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Parth (parthkohli):
Ek aur formula se confuse ho gaya -_-
Parth (parthkohli):
Induction se prove karo
Parth (parthkohli):
Prestige ke theek-theek hai induction chulhe