Which of the following are APs? If they form an AP, find the common difference $d$ and write three more terms.
$0, -4, -8, -12, …..$
Given:
Given sequence is $0, -4, -8, -12, …..$
To do:
We have to check whether the given sequence is an AP. If it is an AP we have to find the common difference $d$ and write three more terms.
Solution:
In the given sequence,
$a_1=0, a_2=-4, a_3=-8$
$a_2-a_1=-4-(0)=-4$
$a_3-a_2=-8-(-4)=-8+4=-4$
$a_2 - a_1 = a_3 - a_2$
$d=a_2 - a_1=-4$
$a_5=a_4+d=-12+(-4)=-16$
$a_6=a_5+d=-16+(-4)=-20$
$a_7=a_6+d=-20+(-4)=-24$
Related Articles
- Which of the following are APs? If they form an AP, find the common difference $d$ and write three more terms.$\sqrt3, \sqrt6, \sqrt9, \sqrt{12}, …..$
- Which of the following are APs? If they form an AP, find the common difference $d$ and write three more terms.$-1.2, -3.2, -5.2, -7.2, ……$
- Which of the following are APs? If they form an AP, find the common difference $d$ and write three more terms.$-10, -6, -2, 2, …..$
- Which of the following are APs? If they form an AP, find the common difference $d$ and write three more terms.$0.2, 0.22, 0.222, 0.2222, ……$
- Which of the following are APs? If they form an AP, find the common difference $d$ and write three more terms.$1, 3, 9, 27, …….$
- Which of the following are APs? If they form an AP, find the common difference $d$ and write three more terms.$a, 2a, 3a, 4a, …….$
- Which of the following are APs? If they form an AP, find the common difference $d$ and write three more terms.$a, a^2, a^3, a^4, …….$
- Which of the following are APs? If they form an AP, find the common difference $d$ and write three more terms.$\sqrt2, \sqrt8, \sqrt{18}, \sqrt{32}, …..$
- Which of the following are APs? If they form an AP, find the common difference $d$ and write three more terms.$1^2, 5^2, 7^2, 73, ……$
- Which of the following are APs? If they form an AP, find the common difference $d$ and write three more terms.$2, \frac{5}{2}, 3, \frac{7}{2}, …….$
- Which of the following are APs? If they form an AP, find the common difference $d$ and write three more terms.$3, 3 + \sqrt2, 3 + 2\sqrt2, 3 + 3\sqrt2, …..$
- Which of the following are APs? If they form an AP, find the common difference $d$ and write three more terms.$-\frac{1}{2}, -\frac{1}{2}, -\frac{1}{2}, -\frac{1}{2}, …….$
- Write first four terms of the AP, when the first term $a$ and the common difference $d$ are given as follows:$a = -2, d = 0$
- Write first four terms of the AP, when the first term $a$ and the common difference $d$ are given as follows:$a = 4, d = -3$
- Write the first three terms of the APs when \( a \) and \( d \) are as given below:\( a=-5, d=-3 \)
Kickstart Your Career
Get certified by completing the course
Get Started
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies