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Sequences and Series · 2024 · 8 Apr · Shift 1

2 Mathematics questions from this JEE Main paper

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JEE Main
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2024 · 8 Apr · Shift 1
Mathematics
Sequences and Series

Sequences and Series · 2024 · 8 Apr · Shift 1

2 Mathematics questions from this JEE Main paper

Q54.Let the positive integers be written in the form : If the $k^{th}$ row contains exactly $k$ numbers for every natural number $k$ , then the row in which the number 5310 will be, is . Includes diagram
Mathematics · Sequences and Series · Numerical
Q57.Let $α = \sum_{r = 0}^{n} (4 r^{2} + 2 r + 1)^{n} C_{r}$ and $β = (\sum_{r = 0}^{n} \frac{^{n} C _{r}}{r + 1}) + \frac{1}{n + 1}$ . If $140 < \frac{2 α}{β} < 281$ , then the value of $n$ is .
Mathematics · Sequences and Series · Numerical