IPMAT Indore 2023 QA SA: If f(n) = 1 + 2 + 3 + … + (n + 1) and g(n) = ∑_(k=1)^(k=n)▒〖1/(f(k)),〗:

If f(n) = 1 + 2 + 3 + … + (n + 1) and g(n) = ∑_(k=1)^(k=n)▒〖1/(f(k)),〗 then the least value of n for which g(n) exceeds the value 99/100 is _____.
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