Question
The $n^{th}$ term of an AP is (7 - 4n). Find its common difference.
✓
Answer
We have:
$T_n= (7 - 4n)$
Common difference $= T_2 - T_1$
$T_1= 7 - 4 \times 1 = 3$
$T_2 = 7 - 4 \times 2 = -1$
$d = -1 - 3 = -4$
Hence, the common difference is -4.
$T_n= (7 - 4n)$
Common difference $= T_2 - T_1$
$T_1= 7 - 4 \times 1 = 3$
$T_2 = 7 - 4 \times 2 = -1$
$d = -1 - 3 = -4$
Hence, the common difference is -4.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Solve the following system of equations by the method of cross-multiplication:
→$x + ay = b,$
$ax - by = c.$
A conical vessel of radius $6 \ cm$ and height $8 \ cm$ is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides, it is just immersed as shown in Figure. What fraction of water over flows?
→Is it possible to design a rectangular mango grove whose length is twice its breadth and the area is 800m$^2$? If so, find its length and breadth.
→The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.
Find the mode of the data.
|
Runs scored
|
Number of batsman
|
Runs scored
|
Number of batsman
|
|
3000-4000
4000-5000
5000-6000
6000-7000
|
4
18
9
7
|
7000-8000
8000-9000
9000-10000
10000-11000
|
6
3
1
1
|
Solve for x and y:
$\frac{3}{\text{x}+\text{y}}+\frac{2}{\text{x}-\text{y}}=2,$
$\frac{9}{\text{x}+\text{y}}-\frac{4}{\text{x}-\text{y}}=1$
→$\frac{3}{\text{x}+\text{y}}+\frac{2}{\text{x}-\text{y}}=2,$
$\frac{9}{\text{x}+\text{y}}-\frac{4}{\text{x}-\text{y}}=1$
If 10 times the $10^{\text {th }}$ term of an AP is equal to 15 times the $15^{\text {th }}$ term, show that its $25^{\text {th }}$ term is zero.
→In the following, determine whether the given values are solution of the given equation or not:
$\text{x}^2-\sqrt{2}\text{x}-4=0,$ $\text{x}=-\sqrt{2},$ $\text{x}=-2\sqrt{2}$
→$\text{x}^2-\sqrt{2}\text{x}-4=0,$ $\text{x}=-\sqrt{2},$ $\text{x}=-2\sqrt{2}$
A gulab jamun, contains sugar syrup up to about 30% of its volume. Find approximately how much syrup would be found in 45 gulab jamun, each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm.
Two solid cones A and B are placed in a cylinderical tube as shown in the Fig. The ratio of their capacities are 2 : 1. Find the heights and capacities of cones. Also, find the volume of the remaining portion of the cylinder.
Find the sum of n terms of the series $\Big(4-\frac{1}{\text{n}}\Big)+\Big(4-\frac{2}{\text{n}}\Big)+\Big(4-\frac{3}{\text{n}}\Big)+\ .....$
→