Consider the following. = a₁ 6₁ an + 1 = an + 6 Calculate, to four decimal places, the first eight terms of the recursive sequence. n 1 6 7 8 an X X Does it appear to be convergent? Yes No If so, guess the value of the limit. (If the quantity diverges, enter DIVERGES.) X Assume the limit exists and determine its exact value. (If the quantity diverges, enter DIVERGES.) X lim an = n→∞

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