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 one year ago
Consider the sequence 2;3;5;6;7;8;10;::: of all positive integers that are not perfect squares. Determine the 2011th term of this sequence.
 one year ago
Consider the sequence 2;3;5;6;7;8;10;::: of all positive integers that are not perfect squares. Determine the 2011th term of this sequence.

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oldrin.bataku
 one year ago
Best ResponseYou've already chosen the best response.0Find the number of perfect squares under 2011  this is the difference between 2011 and our number.

oldrin.bataku
 one year ago
Best ResponseYou've already chosen the best response.0Well, we know \(\sqrt{2011}\approx45\) with rounding (since \(44^2=1936\), \(45^2=2025\)). This means we have skipped \(45\) square numbers at this point, so our 2011th term is \(2011+45=2056\)
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