If \(S\) is the infinite sequence: \(S_1=9, S_2=99, S_3=999, \ldots, S_K = 10^K-1,\ldots,\) is every term in \(S\) divisible by the prime number \(p?\)

(1) \(p\) is greater than \(2.\)

(2) At least one term in sequence \(S\) is divisible by \(p.\)

Answer: E

Source: Official Guide