1
JEE Main 2025 (Online) 28th January Evening Shift
Numerical
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-1
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The interior angles of a polygon with n sides, are in an A.P. with common difference 6°. If the largest interior angle of the polygon is 219°, then n is equal to _______.

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2
JEE Main 2025 (Online) 23rd January Evening Shift
Numerical
+4
-1
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The roots of the quadratic equation $3 x^2-p x+q=0$ are $10^{\text {th }}$ and $11^{\text {th }}$ terms of an arithmetic progression with common difference $\frac{3}{2}$. If the sum of the first 11 terms of this arithmetic progression is 88 , then $q-2 p$ is equal to ________ .

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3
JEE Main 2024 (Online) 9th April Evening Shift
Numerical
+4
-1
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If $$\left(\frac{1}{\alpha+1}+\frac{1}{\alpha+2}+\ldots . .+\frac{1}{\alpha+1012}\right)-\left(\frac{1}{2 \cdot 1}+\frac{1}{4 \cdot 3}+\frac{1}{6 \cdot 5}+\ldots \ldots+\frac{1}{2024 \cdot 2023}\right)=\frac{1}{2024}$$, then $$\alpha$$ is equal to ___________.

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4
JEE Main 2024 (Online) 8th April Evening Shift
Numerical
+4
-1
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An arithmetic progression is written in the following way

JEE Main 2024 (Online) 8th April Evening Shift Mathematics - Sequences and Series Question 24 English

The sum of all the terms of the 10th row is _________.

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