If the coefficients of
terms in the binomial expansion of are in A.P., then and satisfy the equation
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:
Tr , 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)2 +(m-r)
2mr+2m-3r2 +2=m2 -2mr+r2 +m
m2 -m(4r+1)+4r2 -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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