The sequence is
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A sequence is monotonic if it is either increasing or decreasing.
\Check whether the sequence is increasing or decreasing.
\
for all
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For
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For
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Condition for decreasing series is
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Therefore, the sequence is niether decreasing nor increasing.
\Hence the sequence is not monotonic.
\
The sequence is
:
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The sequence is bounded if
.
.
Therefore, the sequence is not bounded.
\
The sequence is neither monotonic nor bounded.