# If the coefficients  of terms in the binomial expansion of are in A.P., then  and   satisfy the equation Option 1) Option 2) Option 3) Option 4)

As we learnt in

Arithmetic mean of two numbers (AM) -

- wherein

It is to be noted that the sequence a, A, b, is in AP where, a and b are the two numbers.

Given that:

T, Tr+1, Tr+2 in A.P

(2m-3r+2)(r+1)=(m-r)(m-r+1)

2m(r+1)-3r(r+1)+2(r+1)=(m-r)+(m-r)

2mr+2m-3r+2=m-2mr+r+m

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

Option 1)

This is incorrect

Option 2)

This is correct

Option 3)

This is incorrect

Option 4)

This is incorrect

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