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Kshitij from KENDRIYA VIDYALAYA , asked a question
Subject: Math , asked on 29/11/11

Find the middle term in the expansion of [x-1/x]10

EXPERT ANSWER

Lalit Mehra ,Meritnation Expert added an answer
Answered on 30/11/11

Dear Student!

The given expansion is .

General term of the given expansion,

Here n = 10, which is even.

So, th term i.e., 6th term is the middle terms of the given expansion.

Putting r = 5, we get

Thus, the middle term in the given expansion is –252.

Cheers!

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syedmuthahar1995... , added an answer
Answered on 29/11/11

 Is it -252x5???

Kshitij , From Kendriya Vidyalaya , added an answer
Answered on 29/11/11

I think, it 's something in 250 's. Please post all the steps.