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Real Sequence watch

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    Give an example of a real sequence Xn with X1 = Pi, X2 = e^7, X3 = square root of (2) so that Xn tends to 0 as n tends to infinity. Anybody able to help me on this one?
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    what's the easiest sequence converging to zero that you know? now can you change it so that the first three terms are those given (the answer is yes)
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    Gah, this is a really annoying question. It's a trick question, just testing your understanding of the definition of convergence. It's a lot simpler than you're thinking I'd imagine!
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    The easiest sequence that I know of would be 1/n, I am just struggling to manipulate this to get the first three terms.
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    literally manipulate it then

    (also, surely 0, 0, 0, ... converges to 0 and is easier than 1/n in some sense. this is the kind of trick you want to think about)
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    (Original post by Casanova_1)
    The easiest sequence that I know of would be 1/n, I am just struggling to manipulate this to get the first three terms.
    And this is why it's a gay question
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    Oh I searched this exact question! Analysis of int and diff revision sheet i take it?:O :eek:
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    (Original post by milky joe)
    Oh I searched this exact question! Analysis of int and diff revision sheet i take it?:O :eek:
    You got that correct lol !!
 
 
 
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Updated: September 30, 2011

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