Q. 6 H5.0( 1 Vote )

Which of the following list of numbers form A.R's? If they form an A.P., find the common difference d and also write its next three terms.

a, 2a, 3a, 4a, ...

Answer :

We have,


a2 – a1 = 2a – a = a


a3 – a2 = 3a – 2a = a


a4 – a3 = 4a – 3a = a


i.e. ak+1 – ak is the same every time.


So, the given list of numbers forms an AP with the common difference d = a


Now, we have to find the next three terms.


We have a1 = a, a2 = 2a, a3 = 3a and a4 = 4a


Now, we will find a5, a6 and a7


So, a5 = 4a + a = 5a


a6 = 5a + a = 6a


and a7 = 6a + a = 7a


Hence, the next three terms are 5a, 6a and 7a


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Champ Quiz | Arithmetic Progression34 mins
Champ Quiz | Arithmetic Progression30 mins
Lets Check Your Knowledge in A.P.49 mins
Fundamental Theorem of Arithmetic- 143 mins
NCERT | Fundamental Theorem Of Arithmetic45 mins
Quiz on Arithmetic Progression Quiz32 mins
Arithmetic progression: Previous Year NTSE Questions34 mins
Get to Know About Geometric Progression41 mins
NCERT | Solving Questions on Introduction of A.P42 mins
Arithmetic Progression Tricks and QUIZ37 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses