I would really appreciate it if someone could please help me with this question.

Define a sequence a_{0} a_{1 }a_{2}. . . recursively by setting a_{0 }= 1 and a_{n+1}= 3 – 1/a_{n} for all n= 0, 1, 2, 3, . . . use induction to prove that 0 < a_{n} < a_{n + 1} < 3 for all n = 0, 1, 2, 3, . . .

1 Attachment(s)

Re: I would really appreciate it if someone could please help me with this question.

Re: I would really appreciate it if someone could please help me with this question.

hey thanks alot. but i am still having a bit of difficulties with the -a^2(subscript n). i understand that the [3a(subscript n) -1]/a(subscript n) came from the a(subscript n+1) but i don't understand how -a(subscript n) gives u that -a^2(subscript n)

1 Attachment(s)

Re: I would really appreciate it if someone could please help me with this question.