Question: Consider the sequence defined by? a n + 1 = ?3a n , a 1 = ?3, for n ? 1. a. Show that {a

Consider the sequence defined by? an + 1 = ?3an, a1 = ?3, for n ? 1.

a. Show that {an} is increasing.

b. Show that {an} is bounded between 0 and 3.?

c. Explain whylim an n lim an n n-exists.

d. Find?image

lim an n lim an n n-

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a Note that a 3a 33 3 a Now assume that 3 a 3ak1 ak Thus an is increasing b Clearly because a 3 0 a... View full answer

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