# My First Problem!

Algebra Level 3

$\large \frac{a_{1}}{a_{2}} + \frac{a_{2}}{a_{3}} + \frac{a_{3}}{a_{4}}+ \ldots+ \frac{a_{n-1}}{a_{n}} + \frac{a_{n}}{a_{1}}$

Given $$a_{1} , a_{2} , a_{3} ,\ldots , a_{n} > 0$$ for $$n > 2$$. If the expression above has a minimum value of $$pn$$ for $$p$$ is a positive integer, then find the value of $$p + 1$$.

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