Progression (Sequence and Series)Hard

Question

For a positive integer n let a(n) = 1 + , then

Options

A.a(100) ≤ 100
B.a(100) > 100
C.a(200) ≤ 100
D.a(200) > 100

Solution

Given, a(n) = 1 +
     
     
     
     
Thus, a (100) < 100,
Therefore, (a) is the answer
Again, a(n)
     
     
     
Therefore, a (200) > > 100
Therefore, (d) is also the answer.

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