If the coefficients of \( x^{r-1}, x^{r} \) and \( x^{r+1} \) in th...
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If the coefficients of \( x^{r-1}, x^{r} \) and \( x^{r+1} \) in the binomial expansion of \( (1+x)^{n} \) are in A.P., prove that \( n^{2}-n(4 r+1)+4 r^{2}-2=0 \).
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