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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Derive a genl expression Damn easy
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computer001 (1847)

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wth my method  is 4 steps its elegant enuf i think

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sandeepramesh (1247)

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its rather like finding the type of terms n all but the method i have in mind is only 2 steps
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elastiboysai (2327)

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Tp=Tp-1 * [a+(p+r-1)b]/[a+(p-1)b]
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sandeepramesh (1247)

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so what elasti?? Well it seems that this is tricky after all, why arent u people thinking of the simplest method at all ???
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ananth_patri (595)

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i think this series is AGP arthematico geometric progression???

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A winner never quits.....a quitter never wins......
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sandeepramesh (1247)

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no man ananth_patri , ure plain confused
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anandghegde (1712)

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perhaps sumthing like this may work
as Tn is a product of successive terms of an AP, Tn can be expressed as no. of terms X arithmetic mean of first and last terms.....

"I a universe of atoms.......an atom in the universe"
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sandeepramesh (1247)

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Wth why do i get rated for stupid things???
 
And u are all missing an easy trick, forgive me if someone has already mentioned it n i havent noticed when i post the ans, but ill wait for more replies :)
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sandeepramesh (1247)

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does the term partial fractions hit you all with sth? :D :D
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elastiboysai (2327)

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sth like
t1=(a+b)..(a+rb)
t2=(a+2b)....(a+rb+b) ...
wile addin jus write the missin terms in d denom n take t n+1/2 common den use pt fracs??
bt that wud b ver long
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sandeepramesh (1247)

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okay, lemme post the soln :)
Set up a variable vn by noting that
un = (un (a + (n+r)b) - (a +( n-1)b))/ (r+1)b
 split it up into 2 parts and let
vn = un(a+(n+r)b)/(r+1)b
 
Sn = vn - vo due to telescopic summation :)
Easy from here :)
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computer001 (1847)

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wow buddy..thts 2 steps is it?

n u say easy from here..so after tht another 3 steps..total 10 steps...i think mine is more efficient..elegance is all in the mind
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elastiboysai (2327)

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k wait i am gettin some idea.
i rem tryin som sum like dis n som1 in goiit came up wid a beautiful soln.
koni calld it the Vn method.
it is ec if u use dat method i think
look for it in sprinkles posts
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elastiboysai (2327)

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k i c d soln is already there
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sandeepramesh (1247)

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gokul dont blabber man :D :D
 
if i give you tn = (x+1)(x+2)(x+3) and ask u to find Sn what will you do? Huh will u expand???
 
Setting this up is very easy n practical
 
This is more elegant surely ask elasti n shrids atleast theyll agree :D :D