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Arithmetic Sequenceshard
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For a positive integer nnn, the binomial coefficients binomn4\\binom{n}{4}binomn4, binomn5\\binom{n}{5}binomn5, and binomn6\\binom{n}{6}binomn6 are in arithmetic progression. Find the value of nnn (nge6n \\ge 6nge6).