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a1a2+a2a3+a3a4+…+an−1an+ana1\large \frac{a_{1}}{a_{2}} + \frac{a_{2}}{a_{3}} + \frac{a_{3}}{a_{4}}+ \ldots+ \frac{a_{n-1}}{a_{n}} + \frac{a_{n}}{a_{1}}a2a1+a3a2+a4a3+…+anan−1+a1an
Given a1,a2,a3,…,an>0a_{1} , a_{2} , a_{3} ,\ldots , a_{n} > 0a1,a2,a3,…,an>0 for n>2n > 2n>2. If the expression above has a minimum value of pnpnpn for ppp is a positive integer, then find the value of p+1p + 1p+1.
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