Exams
Subjects
Classes
Home
Exams
Mathematics
Sum of First n Terms of an AP
if the sum of the first 2...
Question:
medium
If the sum of the first 2n terms of 2, 5, 8, … is equal to the sum of the first n terms of 57, 59, 61, …, then n is equal to:
Show Hint
Always reduce AP sum equations to linear form.
BITSAT - 2011
BITSAT
Updated On:
Mar 18, 2026
10
12
11
13
Show Solution
The Correct Option is
C
Solution and Explanation
Download Solution in PDF
Was this answer helpful?
0
Top Questions on Sum of First n Terms of an AP
For positive integers \( n \), if \( 4 a_n = \frac{n^2 + 5n + 6}{4} \) and
$$ S_n = \sum_{k=1}^{n} \left( \frac{1}{a_k} \right), \text{ then the value of } 507 S_{2025} \text{ is:} $$
JEE Main - 2025
Mathematics
Sum of First n Terms of an AP
View Solution
Let
\[ f(x) = \lim_{n \to \infty} \sum_{r=0}^{n} \left( \frac{\tan \left( \frac{x}{2^{r+1}} \right) + \tan^3 \left( \frac{x}{2^{r+1}} \right)}{1 - \tan^2 \left( \frac{x}{2^{r+1}} \right)} \right) \] Then, \( \lim_{x \to 0} \frac{e^x - e^{f(x)}}{x - f(x)} \) is equal to:
JEE Main - 2025
Mathematics
Sum of First n Terms of an AP
View Solution
$$ \lim_{n \to \infty} \frac{(1^2 - 1)(n-1) + (2^2 - 2)(n-2) + \ldots + ((n-1)^2 - (n-1))}{(1^3 + 2^3 + \ldots + n^3) - (1^2 + 2^2 + \ldots + n^2)} $$ is equal to:
JEE Main - 2024
Mathematics
Sum of First n Terms of an AP
View Solution
If
\(S_n=3+7+11....\)
upto
\(n\)
terms and
\(40<\frac {6}{n(n+1)}\displaystyle\sum_{k=1}^n S_k<45\)
. Then
\(n\)
is
JEE Main - 2024
Mathematics
Sum of First n Terms of an AP
View Solution
Want to practice more? Try solving extra ecology questions today
View All Questions
Questions Asked in BITSAT exam
What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?
BITSAT - 2025
Vector Algebra
View Solution
In a mixture of gases, the average number of degrees of freedom per molecule is 6. If the rms speed of the molecule is \(c\), what is the velocity of sound in the gas?
BITSAT - 2025
kinetic theory
View Solution
A ball is thrown vertically upward with a speed of 49 m/s. How long will it take to return to the thrower’s hand?
BITSAT - 2025
Kinematics
View Solution
Two identical bodies of mass 1 kg each are moving towards each other with velocities of 5 m/s and 3 m/s, respectively. They collide elastically. What will be the velocity of the body initially moving at 5 m/s after the collision?
BITSAT - 2025
Mechanics
View Solution
A simple pendulum of length 1 m is oscillating with an amplitude of 0.1 m. What is the maximum tension in the string if the mass of the bob is 0.2 kg? (Assume \( g = 10 \, \text{m/s}^2 \))
BITSAT - 2025
Pendulums
View Solution