Define a sequence by

,

Prove that if , the sequence is increasing and bounded above.

My solution:

So, for all , ie the sequence is bounded above by 1.

We know that for all . So, and the sequence is increasing.

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- Jan 15th 2012, 12:32 AMalexmahoneProve that the sequence is increasing and bounded above
Define a sequence by

,

Prove that if , the sequence is increasing and bounded above.

__My solution:__

So, for all , ie the sequence is bounded above by 1.

We know that for all . So, and the sequence is increasing. - Jan 15th 2012, 12:50 AMgirdavRe: Prove that the sequence is increasing and bounded above
Show by induction that for all .