If the coefficients of xr-1 , xr , xr+1 in the binomial expansion of (1+x)n are in A - Maths - Binomial Theorem

Question

If the coefficients of xr-1 ,
xr , xr+1 in the
binomial expansion of (1+x)n
are in A P , prove that
n2 - n(4r + 1) + 4r2 - 2 =
0

Brijendra P. · Accepted Answer

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If the coefficients of xr-1 , xr , xr+1 in the binomial expansion of (1+x)n are in A.P. , prove that n2 - n(4r + 1) + 4r2 - 2 = 0 .