Home
Class 11
MATHS
If the coefficients of (2r + 4)th, (r - ...

If the coefficients of (2r + 4)th, (r - 2)th terms in the expansion of `(1 + x)^18` are equal, find r.

Text Solution

AI Generated Solution

To solve the problem, we need to find the value of \( r \) such that the coefficients of the \( (2r + 4) \)th and \( (r - 2) \)th terms in the expansion of \( (1 + x)^{18} \) are equal. ### Step-by-step Solution: 1. **Understanding the Binomial Expansion**: The general term (T) in the binomial expansion of \( (1 + x)^{n} \) is given by: \[ T_{k+1} = \binom{n}{k} x^k ...
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NCERT EXEMPLAR ENGLISH|Exercise Long Answer type question|6 Videos

  • BINOMIAL THEOREM

    NCERT EXEMPLAR ENGLISH|Exercise Objective type question|16 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT EXEMPLAR ENGLISH|Exercise OBJECTIVE TYPE QUESTIONS|16 Videos

Similar Questions

Explore conceptually related problems

If the coefficient of (2r+4)th and (r-2)th terms in the expansion of (1+x)^(18) are equal, find r .

If the coefficients of (2r + 1)th term and (r + 2)th term in the expansion of (1 + x)^(48) are equal,find r .

If the coefficient of (2r + 4)^(th) term and (r - 2)^(th) term in the expansion of (1 + x)^18 are equal then find r.

If the coefficients of the (2r+4)t h ,(r-2)t h term in the expansion of (1+x)^(18) are equal, then the value of r is.

If the coefficients of (r-5)t h a n d(2r-1)t h terms in the expansion of (1+x)^(34) are equal, find rdot

If the coefficient of (2r+ 5) th term and (r- 6) th term in the expansion (1+x)^39 are equal, find r

If the coefficient of (3r)^(th) and (r + 2)^(th) terms in the expansion of (1 + x)^(2n) are equal then n =

Given positive integers r>1,n> 2, n being even and the coefficient of (3r)th term and (r+ 2)th term in the expansion of (1 +x)^(2n) are equal; find r

If the coefficients of (r-5)^(t h) and (2r-1)^(t h) terms in the expansion of (1+x)^(34) are equal, find r .

If the coefficients of (r-5)^(t h) and (2r-1)^(t h) terms in the expansion of (1+x)^(34) are equal, find rdot