🛠️ JEE➗ Maths

The value of \(\frac{1\times {2}^{2}+2\times {3}^{2}+\ldots +100\times (101{)}^{2}}{{1}^{2}\times 2+{2}^{2}\times 3+\ldo…

Q1

The value of \(\frac{1\times {2}^{2}+2\times {3}^{2}+\ldots +100\times (101{)}^{2}}{{1}^{2}\times 2+{2}^{2}\times 3+\ldots +{100}^{2}\times 101}\)

[JEE Main 2024, 4 Apr (Shift 2)]

a

\(\frac{305}{301}\)

b

\(\frac{32}{31}\)

c

\(\frac{306}{305}\)

d

\(\frac{31}{30}\)

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