{ iti tis illuiniui Consider the following linear non-homogeneous recurrence relation where go = 1, gi =3 and 7gn-10gn-i+n for n > 1 The reduced closed form of gn can be represented as gn =(Px p" +Qx q" + Rn2 + Sn +T) where p and q are the solutions of the characteristic equat In+1 = the recurrence. Given that, p is smaller than q. Here, P, Q, R, S,T, A are all integers. What is the value of P?

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