Question: 6. A sequence (an) is defined recursively by a1 = 3 and an+1 = V21 + 4an for all natural numbers n. Which one of

6. A sequence (an) is defined recursively by a1 = 3 and an+1 = V21 + 4an for all natural numbers n. Which one of the following assertions is true about the sequence (an) ? (A) It is increasing and converges to 7. (B) It is decreasing and converges to 5. (C) It is increasing and converges to 5. (D) It is decreasing and converges to 7. (E) It diverges. (F) None of (A) - (E)

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