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Sequences and Series · 2024 · 9 Apr · Shift 2

2 Mathematics questions from this JEE Main paper

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2024 · 9 Apr · Shift 2
Mathematics
Sequences and Series

Sequences and Series · 2024 · 9 Apr · Shift 2

2 Mathematics questions from this JEE Main paper

Q48.Let $a, a r, a r^{2}$ , ............ be an infinite G.P. If $\sum_{n = 0}^{\infty} a r^{n} = 57$ and $\sum_{n = 0}^{\infty} a^{3} r^{3 n} = 9747$ , then $a + 18 r$ is equal to
Mathematics · Sequences and Series · MCQ
Q60.If $(\frac{1}{α + 1} + \frac{1}{α + 2} + \dots .. + \frac{1}{α + 1012}) - (\frac{1}{2 \cdot 1} + \frac{1}{4 \cdot 3} + \frac{1}{6 \cdot 5} + \dots\dots + \frac{1}{2024 \cdot 2023}) = \frac{1}{2024}$ , then $α$ is…
Mathematics · Sequences and Series · Numerical