General Physics

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skygirl ·2009-01-27 07:31:42

ohh! great vivek !

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Aneesh Gupta ·2009-01-27 09:45:11

good question and answer :)

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Vivek ·2009-01-27 08:39:09

The series is 4!(³c₄+⁴c₄ + ⁵c₄ + ⁶c₄ + ....... ⁿc₄ + ⁿ⁺¹c₄ + ⁿ⁺²c₄ )

but ³c₄=0

finding ⁴c₄ + ⁵c₄ + ⁶c₄ + ....... ⁿc₄ + ⁿ⁺¹c₄ + ⁿ⁺²c₄ is equal to the coeff of x⁴ in S,

where S = (1+x)⁴+(1+x)⁵ + ... (1+x)ⁿ⁺² = ((1+x)^n-1-1)(1+x)⁴/(x)

so we have tofind coeff of x in (1+x)ⁿ⁺³/x which is ⁿ⁺³C₅

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Vivek ·2009-01-27 08:33:46

hey ⁵c₁ = ⁵c₄

the mistake i made was ⁿc₄ is not the nth term,ⁿ⁺²c₄ is

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gagar.iitk ·2009-01-27 08:00:16

we must refer it to nishant otherwise we have to calculate the summation of n⁴

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gagar.iitk ·2009-01-27 07:54:15

no vivek i was not referring to this point ..
and was trying to calculate the sum via ncr method but not been able to solve it

the series will be 4![⁵c₁+⁶c₂+⁷c₃.......

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Vivek ·2009-01-27 07:45:46

oh yeah

4!ⁿ⁺³c₅

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gagar.iitk ·2009-01-27 07:41:02

u can calculate it without any help vivek ur logics are strong and check the sum for first three u will get ur mistake

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Vivek ·2009-01-27 07:38:46

can u post the answer?

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? ·2009-01-27 07:37:16

great man !

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gagar.iitk ·2009-01-27 07:35:02

vivek u got the logic ...just a calculation mistake ...i think can u again check ur ans

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gagar.iitk ·2009-01-27 06:21:31

sorry maths in domain of physics

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skygirl ·2009-01-27 07:31:39

ohh! great vivek !

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gagar.iitk ·2009-01-27 07:30:30

PLZ RE CHECK IT

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Vivek ·2009-01-27 07:24:23

if 0 is the first term , then the sum should be 4!ⁿ⁺³c₅

the first term is ³c₄ = 0

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gagar.iitk ·2009-01-27 07:23:36

a very little doubt about the first term but overall GREAT WORK

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Vivek ·2009-01-27 07:18:07

the sum is = 4!/0! + 5!/1! +6!/2! + 7!/3! + ................

= 4! (⁴c₄ + ⁵c₄ + ..... ⁿ⁺³c₄)
=4! (ⁿ⁺⁴c₅ )

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? ·2009-01-27 07:10:53

gagar ...what is the formula for the nth term ??....hehehe :D

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skygirl ·2009-01-27 07:07:25

ok then ... trying again...

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gagar.iitk ·2009-01-27 07:06:46

the series given is right (rechecked it)

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skygirl ·2009-01-27 06:58:02

t1= 0 | = 120 t2=120 | = 240 t3=360 |= 480 t4 = 840 | =840 t5= 1680 | = next diff 1680 .. like this ... only possible if 24 is not a term... if it is a trem,,, then i am sorry for this post... i will think again...

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skygirl ·2009-01-27 06:54:12

is this series correct ?? pls confirm...
i mean i am having a feeling like 24 will not be there...

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