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Sequences and Series · 2024 · 5 Apr · Shift 1

2 Mathematics questions from this JEE Main paper

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2024 · 5 Apr · Shift 1
Mathematics
Sequences and Series

Sequences and Series · 2024 · 5 Apr · Shift 1

2 Mathematics questions from this JEE Main paper

Q42.If $\frac{1}{1 + 2} + \frac{1}{2 + 3} + \dots + \frac{1}{99 + 100} = m$ and $\frac{1}{1 \cdot 2} + \frac{1}{2 \cdot 3} + \dots + \frac{1}{99 \cdot 100} = n$ , then the point $(m, n)$ lies…
Mathematics · Sequences and Series · MCQ
Q57.Let $a_{1}, a_{2}, a_{3}, \dots$ be in an arithmetic progression of positive terms. Let $A_{k} = a_{1}^{2} - a_{2}^{2} + a_{3}^{2} - a_{4}^{2} + \dots + a_{2 k - 1}^{2} - a_{2 k}^{2}$ . If $A_{3} = - 153, A_{5} = - 435$ and $a_{1}^{2} + a_{2}^{2} + a_{3}^{2} = 66$ …
Mathematics · Sequences and Series · Numerical