Q. 43.5( 2 Votes )

Find the middle term of A.P 1, 8, 15,.......505

Answer :

For given AP,


First term, a = 1


Common difference, d = a2 – a


= 8 – 1


= 7


Let the number of terms be n, then


Last term, an = 505


We know, nth term of an AP is


an = a + (n – 1)d


505 = 1 + (n – 1)7


504 = 7(n – 1)


n – 1 = 72


n = 73



Also,


a37 = a + 36d


= 1 + 36(7)


= 1 + 252


= 253


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
Quiz | Arithmetic ProgressionQuiz | Arithmetic ProgressionQuiz | Arithmetic Progression44 mins
Champ Quiz |  Arithmetic ProgressionChamp Quiz |  Arithmetic ProgressionChamp Quiz | Arithmetic Progression30 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
Smart Revision | Arithmetic ProgressionSmart Revision | Arithmetic ProgressionSmart Revision | Arithmetic Progression47 mins
Quiz on  Arithmetic Progression QuizQuiz on  Arithmetic Progression QuizQuiz on Arithmetic Progression Quiz32 mins
NCERT | Arithmetic ProgressionNCERT | Arithmetic ProgressionNCERT | Arithmetic Progression36 mins
Fundamental Theorem of Arithmetic- 1Fundamental Theorem of Arithmetic- 1Fundamental Theorem of Arithmetic- 143 mins
Get to Know About Geometric ProgressionGet to Know About Geometric ProgressionGet to Know About Geometric Progression41 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