New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Sequences and Series question

2024 · 8 Apr · Shift 1 · Q54

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Sequences and Series
2024 · 8 Apr · Shift 1 · Q54

Sequences and Series question

2024 · 8 Apr · Shift 1 · Q54

JEE MainMathematicsSequences and SeriesNumerical+4 / −1

Let the positive integers be written in the form : JEE Main 2024 (Online) 8th April Morning Shift Mathematics - Sequences and Series Question 36 English

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

\underline{\hspace{2cm}}

.

Numerical answer

More from Sequences and Series

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 .2024 · Numerical
In an increasing geometric progression of positive terms, the sum of the second and sixth terms is $\frac{70}{3}$ and the product of the third and fifth terms is 49. Then the sum of the $4^{th}, 6^{th}$ and $8^{th}$ …2024 · MCQ
An arithmetic progression is written in the following way The sum of all the terms of the 10th row is . Includes diagram2024 · Numerical
If the sum of the series $\frac{1}{1 \cdot ( 1 + d )} + \frac{1}{( 1 + d ) ( 1 + 2 d )} + \dots + \frac{1}{( 1 + 9 d ) ( 1 + 10 d )}$ is equal to 5, then $50 d$ is equal to :2024 · MCQ
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 to2024 · MCQ
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…2024 · Numerical
The number of common terms in the progressions $4, 9, 14, 19, \dots\dots$ , up to $2 5^{th}$ term and $3, 6, 9, 12, \dots\dots$ , up to $3 7^{th}$ term is :2024 · MCQ
If $8 = 3 + \frac{1}{4} (3 + p) + \frac{1}{4 ^{2}} (3 + 2 p) + \frac{1}{4 ^{3}} (3 + 3 p) + \dots\dots \infty$ , then the value of $p$ is .2024 · Numerical