JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

{a_n} = 1 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \ldots + \frac{1}{{{2^n} - 1}},

then

View answer and explanation

Correct option: A

{a_{100}} < 100

Option A (

{a_{100}} < 100

) is correct because the sum

{a_n}

is always less than

n

, as each term in the series is overestimated by replacing fractions with larger values.

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