Write the first four terms of the $AP,$ when the first term $a$ and the common difference $d$ are given as follows: $a=4, d=-3.$

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(A) Given: First term $a = 4$ and common difference $d = -3.$
The general form of an $AP$ is $a, a+d, a+2d, a+3d, \dots$
First term $a_1 = a = 4.$
Second term $a_2 = a + d = 4 + (-3) = 4 - 3 = 1.$
Third term $a_3 = a + 2d = 4 + 2(-3) = 4 - 6 = -2.$
Fourth term $a_4 = a + 3d = 4 + 3(-3) = 4 - 9 = -5.$
Therefore,the first four terms of the $AP$ are $4, 1, -2, -5.$

Explore More

Similar Questions

$A$ small terrace at a football ground comprises of $15$ steps each of which is $50 \, m$ long and built of solid concrete. Each step has a rise of $\frac{1}{4} \, m$ and a tread of $\frac{1}{2} \, m$. Calculate the total volume of concrete required to build the terrace (in $m^3$).

Difficult
View Solution

$200$ logs are stacked in the following manner: $20$ logs in the bottom row,$19$ in the next row,$18$ in the row next to it and so on (see Figure). In how many rows are the $200$ logs placed and how many logs are in the top row?

Difficult
View Solution

In an $AP$ given $a=5, d=3, a_{n}=50,$ find $n$ and $S_{n}$.

Find the $10^{th}$ term of the $AP : 2, 7, 12, \ldots$

In a potato race,a bucket is placed at the starting point,which is $5\, m$ from the first potato,and the other potatoes are placed $3\, m$ apart in a straight line. There are ten potatoes in the line. $A$ competitor starts from the bucket,picks up the nearest potato,runs back with it,drops it in the bucket,runs back to pick up the next potato,runs to the bucket to drop it in,and she continues in the same way until all the potatoes are in the bucket. What is the total distance the competitor has to run? (in $m$)

Difficult
View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo