Home
Class 12
MATHS
If the coefficients of the rth, (r +1)th...

If the coefficients of the rth, (r +1)th and (r + 2)th terms in the binomial expansion of (1 + y)^(m)` are in A.P., then m and r satisfy the equation

A

`m^(2)-m(4r-1)+4r^(2)+2=0`

B

`m^(2)-m(4r+1)+ 4r^(2)-2=0`

C

`m^(2)-m(4r+1)+4r^(2)+2=0`

D

`m^(2)-m(4r-1)+4r^(2)-2=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND MATHEMATICAL INDUCTION

    BITSAT GUIDE|Exercise BITSAT Archives|16 Videos
  • COMPLEX NUMBERS

    BITSAT GUIDE|Exercise BITSET Archives |13 Videos

Similar Questions

Explore conceptually related problems

If the coefficients of rth, (r+ 1)th and (r + 2)th terms in the expansion of (1 + x)^(1//4) are in AP, then r is /are

Let n be a positive integer . If the cofficients of rth (r +1) th and (r +2)th terms in the expansion of (1 + x)^(n) are in AP, then find the relation between n and r .

If the coefficients of rth,(r+1) th,and (r+2) th terms in the expansion of (1+x)^(14) are in A.P.then r is/are a.5 b.11 c.10d.9

In the coefficients of rth,(r+1) th,and (r+2) terms in the binomial expansion of (1+y)^(m) are in A.P. then prove that m^(2)-m(4r+1)+4r^(2)-2=0

If the coefficients of the rth,(r+1)th,(r-2)th terms is the expansion of (1+x)^(14) are in A.P,then the largest value of r is.

If the coefficients of rth,(r+1)th and (r+2) th terms in the expansion of (1+x)^(n) be in H.P.then prove that n is a root of the equation x^(2)-(4r-1)x+4r^(2)=0