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2. Consider the sequence {an} defined by the recurrence relation a1=2,an+1=21(an+6)forn=1,2,3,. (i) Show that {an} is monotone and bounded. (ii) Is {an} convergent? If so,

2. Consider the sequence {an} defined by the recurrence relation a1=2,an+1=21(an+6)forn=1,2,3,. (i) Show that {an} is monotone and bounded. (ii) Is {an} convergent? If so, find its limit

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