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! `2n.x^n`, where n is a positive integer.

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NCERT BANGLISH|Exercise EXERCISE 8.1|14 Videos

  • BINOMIAL THEOREM

    NCERT BANGLISH|Exercise EXERCISE 8.2|12 Videos

  • APPENDIX 2 MATHEMATICAL MODELLING

    NCERT BANGLISH|Exercise EXAMPLE|2 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISES ON CHAPTER 24|1 Videos

Similar Questions

Explore conceptually related problems

Show that the middle term in the expansion of (x+1)^(2n) is (1.3.5.....(2n-1))/(n!) 2^n.x^n .

Show that the middle term in the expansion of (x-1/x)^(2n) is (1.3.5.7....(2n-1))/(n!)(-2)^n

The middle term in the expansion of (1-3x+3x^2-x^3)^(2n) is

Show that the middle term in the expansion of (x+1)^(2n)" is " (1.3.5. ......(2n-1))/(n!).2^(n).x^(n).

Prove that the middle term in the expansion of (1+x)^(2n)" is " (1.3.5....(2n-1))/(n!).2^(n)x^(n)

The coefficient of the middle term in the expansion of (1+x)^(2n) is

Find the co-efficient of 1/x of the expansion of (1+x)^n(1+1/x)^n where n is a positive integer.

Show that the value of the middle term in the expansion of (x+(1)/(2x))^(2n)" is " (1.3.5.....(2n-1))/(n!)

The coefficient of the middle term of the expansion of (1-2x+x^2)^n is

Coefficient of x^n in the expansion of (1+x)^(2n) is