Let , and let . Prove that So far: I have proved that is a strictly decreasing sequence by induction. Will this help a bit?
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Hello, Originally Posted by tttcomrader Let , and let . Prove that So far: I have proved that is a strictly decreasing sequence by induction. Will this help a bit? Uh... Don't you find it weird that you're asked to prove that and though you find it to be decreasing ? Consider and see if it's decreasing or increasing ^^
I have x1=1, x2=1/2, x3=3/4, x4=9/8. so it is in fact increasing strictly...
Can you show ?
It is true for k=2. If it is true for k=n, then we have Then So it is true for all Here is my proof to finish the problem: So this sequence is not bounded. Is this correct? Thank you.
Last edited by tttcomrader; Sep 6th 2008 at 12:41 PM.
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