Home
Class 11
MATHS
Show that the middle term in the expansi...

Show that the middle term in the expansion of `(1+x)^(2n)` is `(1.3.5….(2n-1))/(n!) 2^(n)x^(n)`, where n is a positive integer.

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    OMEGA PUBLICATION|Exercise IMPORTANT QUESTIONS FROM MISCELLANEOUS EXERCISE|9 Videos

  • BINOMIAL THEOREM

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (MCQs) |14 Videos

  • COMPLEX NUMBER AND QUADRATIC EQUATIONS

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (MCQs)|25 Videos

Similar Questions

Explore conceptually related problems

Find the middle terms in the expansion of : (x/y+y/x)^(2n+1) .

Show that (-sqrt(-1))^(4n+3)=i , where n is a positive integer.

If the fourth term in the expansion of (px+1/x)^n is 5/2 , then (n,p)=

In the expansion of (x^(2) + 1 + (1)/(x^(2)))^(n), n in N ,

Find the (n+ 1)th term from the end in the expansion of (x-1/x)^(3n) .

Write the middle term in the expansion of : (1+x)^(2n) , where n is a positive integer.

If the middle term in the expansion (x^(2)+1//x)^(n) is 924 x^(6) , then find the value of n.

The coefficient of x^(n) in the expansion of (1+x)(1-x)^(n) is

Find the (n+1)th term from the end in the expansion of (2x - (1)/(x))^(3n)

Using Permutation or otherwise, prove that ((n^2)!)/((n!)^2) is an integer, where n is a positive integer.