The coeffcients of the (r-1)^th, r^th an...

The coeffcients of the `(r-1)^th`, `r^th` and `(r+1)^th` terms in the expansion of `(x+1)^n` are in the ration 1 : 3: 5 Find n and r.

Verified by Experts

The correct Answer is:

n = 7; r =3

BINOMIAL THEOREM
NCERT GUJARATI|Exercise Miscellanous exercise on chapter 8|10 Videos
BINOMIAL THEOREM
NCERT GUJARATI|Exercise EXERCISE 8.1|14 Videos
APPENDIX 2 MATHEMATICAL MODELLING
NCERT GUJARATI|Exercise EXAMPLE|3 Videos
COMPLEX NUMBERS AND QUADRATIC EQUATIONS
NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISES ON CHAPTER 24|1 Videos

Similar Questions

Explore conceptually related problems

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

Find the 7^(th) term in the expansion of (x+3y)^(8)

Find the r^th term from the end in the expansion of (x + a)^n .

If the coefficient of 2nd , 3rd and the 4th terms in the expansion of (1+x)^(n) are in AP, then the value of n is

If the coefficients of 4^(th) and 13^(th) terms in the expansion of (a+b)^(n) are equal then find n .

Find the value of r , if the coefficients of (2r+4)th and (r-2) th terms in the expansion of (1+x)^(18) are equal .

If 5^(th),6^(th) and 7^(th) terms in the expansion of (1+y)^(n) are in A.P . Then the value of n is ………..

Find the 13t^th term in the expansion of ( 9x-1/3sqrtx)^18 , x !=0.

If the coefficients of a^r-1 , a^r and a^r+1 in the expansion of (1+a)^n are in arithmetic progression, prove that n^2 - n(4r+1)+ 4r^2 - 2 =0.

The 3rd , 4th and 5th terms in the expansion of (x+a)^(n) are respectively 84,280 and 560, find the values of x, a and n .