>
Exams
>
Mathematics
>
sequences
>
the sum of the even multiples of 9 between 300 and
Question:
The sum of the even multiples of 9 between 300 and 500 is
Show Hint
Even multiples of 9 = multiples of 18.
MET - 2021
MET
Updated On:
Apr 18, 2026
4356
5336
5346
3456
Show Solution
Verified By Collegedunia
The Correct Option is
A
Solution and Explanation
Concept:
Even multiples of 9 are multiples of 18.
Step 1:
Find limits.
\[ 18 \times 17 = 306,\quad 18 \times 27 = 486 \]
Step 2:
AP.
\[ 306, 324, \dots, 486 \] \[ n = 11 \]
Step 3:
Sum.
\[ S = \frac{11}{2}(306+486) = 4356 \]
Download Solution in PDF
Was this answer helpful?
0
0
Top MET Mathematics Questions
$\int\limits_{0}^{8}| x -5| d x$
is equal to
MET - 2007
Mathematics
Methods of Integration
View Solution
The equation $3^{3x + 4} = 9^{2x - 2},\ x>0$ has the solution
MET - 2018
Mathematics
linear inequalities
View Solution
A parallelogram is constructed on the vectors $\mathbf{a} = 3\alpha - \beta$, $\mathbf{b} = \alpha + 3\beta$. If $|\alpha| = |\beta| = 2$ and the angle between $\alpha$ and $\beta$ is $\dfrac{\pi}{3}$, then the length of a diagonal of the parallelogram is
MET - 2018
Mathematics
3D Geometry
View Solution
Every group of order 7 is
MET - 2018
Mathematics
Algebra
View Solution
Let $U_{n} = 2 + 2^{3} + 2^{5} + \cdots + 2^{2n+1}$ and $V_{n} = 1 + 4 + 4^{2} + \cdots + 4^{n-1}$. Then $\displaystyle\lim_{n \to \infty} \dfrac{U_n}{V_n}$ is equal to
MET - 2018
Mathematics
sequences
View Solution
View More Questions
Top MET sequences Questions
Let $U_{n} = 2 + 2^{3} + 2^{5} + \cdots + 2^{2n+1}$ and $V_{n} = 1 + 4 + 4^{2} + \cdots + 4^{n-1}$. Then $\displaystyle\lim_{n \to \infty} \dfrac{U_n}{V_n}$ is equal to
MET - 2018
Mathematics
sequences
View Solution
The sum to $n$ terms of the series $\dfrac{1}{2} + \dfrac{3}{4} + \dfrac{7}{8} + \dfrac{15}{16} + \cdots$ is}
MET - 2018
Mathematics
sequences
View Solution
The value of $\displaystyle\sum_{r=1}^{\infty}\left[3\cdot 2^{-r} - 2\cdot 3^{1-r}\right]$ is
MET - 2018
Mathematics
sequences
View Solution
The sum of infinite terms of the GP $\dfrac{\sqrt{2}+1}{\sqrt{2}-1},\;\dfrac{1}{2-\sqrt{2}},\;\dfrac{1}{2},\;\ldots$ is
MET - 2018
Mathematics
sequences
View Solution
$\sum_{n=1}^{\infty} \frac{(-1)^{n-1}}{n(n+1)}$ is equal to
MET - 2017
Mathematics
sequences
View Solution
View More Questions
Top MET Questions
A coil of 100 turns and area
$2 \times 10^{-2}m^2 $
is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north-south direction, it experiences a couple of 0.33 Nm. When the plane is east-west, the corresponding couple is 0.4 Nm, the value of magnetic induction is [Neglect earth's magnetic field]
MET - 1980
Gauss Law
View Solution
$\int\limits_{0}^{8}| x -5| d x$
is equal to
MET - 2007
Methods of Integration
View Solution
Radiation, with wavelength 6561
$?$
falls on a metal surface to produce photoelectrons. The electrons are made to enter a uniform magnetic field of
$3 \times 10^{-4} T$
. If the radius of the largest circular path followed by the electrons is 10 mm, the work function of the metal is close to :
MET - 2020
Photoelectric Effect
View Solution
In intrinsic semiconductor at room temperature number of electrons and holes are
MET - 2012
Semiconductor electronics: materials, devices and simple circuits
View Solution
Which of the following product is formed in the reaction
$ CH_3MgBr {->[(i)CO_2][(ii)H_2O]} ? $
MET - 2004
Preparation
View Solution
View More Questions