Determine Whether The Given Sequence Is...

GamaSam0

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Determine whether the given sequence is increasing,decreasing, or not monotonic. an = 3 + ( (-1)n / n )

 

Answer No.1

Anonymous

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This sequence is not monotonic, because the second term changessign for every increment of n, therefore the sequence increases,then decreases, then increases, again, and so on.

Answer No.2

ZenMan2

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Determine whether the given sequenceis increasing, decreasing, or not monotonic. an = 3 +( (-1)n / n ),WE HAVE A1=3-1=2 A2=3+1/2=3.5 A3=3-1/3=2.66667 A4=3+1/4=3.25...ETC....HENCE.. 1.THIS IS A SERIES OF ALL + VE TERMS ONLY. 2.IN GENERAL THE ODD TERMS INCREASE STARTING FROM 2 GOING TO ALIMIT OF 3 3.AND EVEN TERMS DECREASE STARTING FROM 3.5 GOING TO ALIMIT OF 4..TAKEN ALL TERMS TOGETHER THEY ALTERNATELYINCREASE AND DECREASE. THIS PHENOMENA CONTINUES AS N TENDS TO INFINITY. HENCE WE CAN NOT CALL THIS SERIES AS INCRAESING OR DECREASING ORMONOTONIC ...

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