General term and middle term of binomial expansionMedium

Binomial Expansion and Rational Terms

Let the coefficients of three consecutive terms T_r, T_r+1 and T_r+2 in the binomial expansion of (a + b)¹² be in a G.P. and let p be the number of all possible values of r. Let q be the sum of all rational terms in the binomial expansion of ${\left( {\root 4 \of 3 + \root 3 \of 4 } \right)^{12}}$ . Then p + q is equal to :

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