$\"\"$

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The sequence is $\"\"$ .

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The second term is $\"\"$ .

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The second term is $\"\"$ .

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The third term is $\"\"$ .

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The forth term is $\"\"$ .

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The sequence is $\"\"$ .

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A sequence $\"\"$ is monotonic if its terms are non decreasing $\"\"$ or if its terms are non increasing $\"\"$ .

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The terms in the sequence $\"\"$ .

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Hence, the sequence $\"\"$ is monotonic.

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$\"\"$

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The sequence is $\"\"$ .

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The terms in the sequence are $\"\"$ .

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The sequence is between $\"\"$ to $\"\"$ .

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The upper bound of the sequence is $\"\"$ .

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$\"\"$ .

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The lower bound of the sequence is $\"\"$ .

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$\"\"$ .

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The sequence is bounded between $\"\"$ .

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The sequence is bounded.

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$\"\"$

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Graph the sequence $\"\"$ .

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$\"\"$

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Observe the graph:

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The sequence is bounded between $\"\"$ to $\"\"$ .

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The function is decreasing, hence it is monotonic.

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$\"\"$

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The sequence is monotonic and bounded.