Let \( n \) be a positive integer. If the coefficients of \( 2 \mat...

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Let \( n \) be a positive integer. If the coefficients of \( 2 \mathrm{nd}, 3 \mathrm{rd}, 4 \) th terms in the expansion of \( (1+x)^{n} \) are in A.P., then find the value of \( n \).
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