1
JEE Main 2025 (Online) 23rd January Evening Shift
Numerical
+4
-1
Change Language

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 ________ .

Your input ____
2
JEE Main 2024 (Online) 9th April Evening Shift
Numerical
+4
-1
Change Language

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 ___________.

Your input ____
3
JEE Main 2024 (Online) 8th April Evening Shift
Numerical
+4
-1
Change Language

An arithmetic progression is written in the following way

JEE Main 2024 (Online) 8th April Evening Shift Mathematics - Sequences and Series Question 38 English

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

Your input ____
4
JEE Main 2024 (Online) 8th April Morning Shift
Numerical
+4
-1
Change Language

Let the positive integers be written in the form :

JEE Main 2024 (Online) 8th April Morning Shift Mathematics - Sequences and Series Question 36 English

If the $$k^{\text {th }}$$ row contains exactly $$k$$ numbers for every natural number $$k$$, then the row in which the number 5310 will be, is __________.

Your input ____
JEE Main Subjects
EXAM MAP