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If the coefficients of r^("th"),(r+1)^("...

If the coefficients of `r^("th"),(r+1)^("th")` and `(r+2)^("nd")` terms in the expansion of `(1+x)^(n)` are in A.P. then show that `n^(2)-(4r+1)n+4r^(2)-2=0.`

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