Question

Consider the following. a1 = 8, an + 1 = 9 − an Calculate, to four...

Consider the following.

a1 = 8, an + 1 = 9 − an

Calculate, to four decimal places, the first eight terms of the recursive sequence.

Does it appear to be convergent?

Yes No     


If so, guess the value of the limit. (If the quantity diverges, enter DIVERGES.)


Assume the limit exists and determine its exact value. (If the quantity diverges, enter DIVERGES.)

lim n→∞ an =

Consider the following.

a1 = 1, an + 1 =

square root (4an)

Calculate, to four decimal places, the first eight terms of the recursive sequence.

Does it appear to be convergent?

Yes No     


If so, guess the value of the limit. (If the quantity diverges, enter DIVERGES.)


Assume the limit exists and determine its exact value. (If the quantity diverges, enter DIVERGES.)

lim n→∞ an =

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