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If the coefficients of a^(r-1), a^(r ), ...

If the coefficients of `a^(r-1), a^(r ), a^(r+1)` in the binomial expansion of `(1 + a)^(n)` are in Arithmetic Progression, prove that: `n^(2) -n(4r+1) + 4r^(2) -2=0`

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