isi-entrance 2024 Q19

isi-entrance · India · UGA Sequences and Series Estimation or Bounding of a Sum
Let $$S = \frac{1}{\sqrt{10000}} + \frac{1}{\sqrt{10001}} + \cdots + \frac{1}{\sqrt{160000}}$$ Then the largest positive integer not exceeding $S$ is
(A) 200
(B) 400
(C) 600
(D) 800
Let
$$S = \frac{1}{\sqrt{10000}} + \frac{1}{\sqrt{10001}} + \cdots + \frac{1}{\sqrt{160000}}$$
Then the largest positive integer not exceeding $S$ is\\
(A) 200\\
(B) 400\\
(C) 600\\
(D) 800