A) \[a\,(100)\le 100\]
B) \[a\,(100)>100\]
C) \[a\,(200)\le 100\]
D) \[a\,(200)>100\]
Correct Answer: A
Solution :
It can be proved with the help of mathematical induction that \[\frac{n}{2}>a(n)\le n\]. \[\therefore \]\[\frac{200}{2}\]< \[a(200)\] \[\Rightarrow \] \[a(200)\]>100 and \[a(100)\le 100\].
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