Q. 7 B4.4( 8 Votes )

# In which of the following situations does the list of numbers involved arithmetic progression, and why?The taxi fare after each km when the fare is Rs. 15 for the first km and Rs. 8 for each additional km.

Taxi fare for 1km = 15

According to question, Rs. 8 for each additional km

Taxi fare for 2km = 15 + 8 =23

and Taxi fare for 3km = 23 + 8 =31

Therefore, series is

15, 23, 31 ,…

Difference between 2nd and 1st term = 23 – 15 = 8

Difference between 3rd and 2nd term = 31 – 23 = 8

Since, difference is same.

Hence, the taxi fare after each km form an AP with the first term, a = Rs. 15 and common difference, d = Rs. 8

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  NCERT | Fundamental Theorem Of Arithmetic45 mins  Quiz on Arithmetic Progression Quiz32 mins  Fundamental Theorem of Arithmetic- 143 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 