For a positive integer n let a(n)=1+1/2...

For a positive integer `n` let `a(n)=1+1/2+1/3+1/4+1/((2^n)-1)` Then
a. `a(100) le 100`
b. `a(100) gt 100`
c. `a(200) le 100`
d. `a(200) gt 100`

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