IIT JEE , AIEEE Forum - Mathematics , Algebra

Mr.IITIAN007

Hey guys and gals ! This is the answer of my query post 'Factorial series'.

_{[ j=1 ]}

^{[ n ]} j ^j . j !

Well what I think, the series practically bursts (neither infinite nor finite but increasing w.r.t a common variable ) as n increases which is absolutely not significant.But if I consider the entire series to be a convergent function f(n) then according to combinatrical reasoning and statistical induction and common variable say j must vary from 1 to n which can exactly be done in terms of summation.Then I applied the 3rd principle of Game theory to get the answer.But this is an Olympiad Level question not for IIT standard,I am sorry to ask such question.It will look weired to all you users. I don't think this can be solved in simpler ways.I have to ask my friends in resonance whether they are just kiding .

jaysunantony

hey......................what's this..........

this is just another way of writing the qn.................cant u seee....???.......

Mr.IITIAN007

Well the answer that you gave in 'SIMPLE ONE' forum is also the another way of writing the question.You generalised the solution there , so as I have done here.Can't you understand..........????..................For any solution of a series involving 'n' you cannot have a perfect answer like 9,1000,875etc.The solution must involve n.For calculations involving A.P,G.P modern science has generalised terms like the common difference,common ratio,sum upto n terms.For example, in school exams we don't derive the general formula for nth term of an A.P,or nPr or nCr .We just put the values given in the question in the formula,understand the problem and get the answer.

Lolita

Great answer Ken .

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