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Q33Section B (Section B)33 of 60

Divergent increasing recursive sequence

Let {an}n≥1\{a_n\}_{n\ge1} be a sequence of real numbers such that a1=3a_1=3 and, for n≥1n\ge1,

an+1=an2−2an+42.a_{n+1}=\frac{a_n^2-2a_n+4}{2}.

Then which of the following statement(s) is (are) true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Options

Select every correct option, then submit.