If S is the infinite sequence $${S}_{1}={9}$$, $${S}_{2}={99}$$, $${s}_{3}={999}$$ . . ., $${S}_{k}={10}^{k}-{1}$$, . . ., is every term in S divisble by the prime number p ?
(1)p is greater than 2.
(2)At least one term in sequence S is divisble by p.
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AStatement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
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BStatement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
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CBOTH statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
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DEACH statement ALONE is sufficient.
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EStatements (1) and (2) TOGETHER are NOT sufficient.
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正确答案: E