Consider the following proposition :
$\text{A}_{n} = \underbrace{(p \rightarrow (q \rightarrow (p \rightarrow (q \rightarrow (\dots)))))}_{\text{number of p’s + number of q’s = n}}.$
Which of the following is false for $\text{A}_{n}:$
A. For every $n > 2, \text{A}_{n}$ is a tautology.
B. For every $n > 2, \text{A}_{n}$ is a contradiction.
C. For every $n = 2, \text{A}_{n}$ is a contingency.
D. For every $n > 2, \text{A}_{n}$ is Not contingency.
