Q. 24

The common difference of an A.P., the sum of whose n terms is Sn, is
A. Sn – 2Sn–1 + Sn–2

B. Sn – 2Sn–1– Sn–2

C. Sn – Sn–2

D. Sn – Sn–1

Answer :

an is the nth term of an A.P and a n–1 is the (n–1)th term of an A.P,


d = common difference, Sn = sum of n terms of an A.P


d= an – an–1


But an= Sn – Sn–1


And an–1= Sn–1 – Sn–2


So d= Sn – Sn–1 – (Sn–1 – Sn–2)


d= Sn – 2 Sn–1 + Sn–2

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 ProgressionChamp Quiz | Arithmetic ProgressionChamp Quiz | Arithmetic Progression34 mins
Champ Quiz |  Arithmetic ProgressionChamp Quiz |  Arithmetic ProgressionChamp Quiz | Arithmetic Progression30 mins
Quiz | Arithmetic ProgressionQuiz | Arithmetic ProgressionQuiz | Arithmetic Progression44 mins
NCERT | Fundamental Theorem Of ArithmeticNCERT | Fundamental Theorem Of ArithmeticNCERT | Fundamental Theorem Of Arithmetic45 mins
Lets Check Your Knowledge in A.P.Lets Check Your Knowledge in A.P.Lets Check Your Knowledge in A.P.49 mins
Arithmetic progression: Previous Year NTSE QuestionsArithmetic progression: Previous Year NTSE QuestionsArithmetic progression: Previous Year NTSE Questions34 mins
NCERT | Questions on General Term of an A.PNCERT | Questions on General Term of an A.PNCERT | Questions on General Term of an A.P47 mins
Sum of n Terms of an APSum of n Terms of an APSum of n Terms of an AP36 mins
Arithmetic Progression Tricks and QUIZArithmetic Progression Tricks and QUIZArithmetic Progression Tricks and QUIZ37 mins
Quiz | Group of Questions on General Term  of an A.PQuiz | Group of Questions on General Term  of an A.PQuiz | Group of Questions on General Term of an A.P49 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
caricature
view all courses