For a positive integer n . Let a(n)=1+ 1 2 + 1 3 + .+ 1 2^ n -1 then
Mathematics · JEE Advanced · NTA Exams — Progression and Series
For a positive integer n. Let
\(a(n)=1+\frac{1}{2}+\frac{1}{3}+\ldots .+\frac{1}{2^{n}-1}\) then
\(a(n)=1+\frac{1}{2}+\frac{1}{3}+\ldots .+\frac{1}{2^{n}-1}\) then
- a (100) < 100
- a (100) > 100
- a (200) ≤ 100
- a (200) > 100
Answer
(D) a (200) > 100
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