# How many terms are there in the AP 6, 10, 14, 18, ... , 174?

In the given AP, the first term = a = 6

Common difference = d = 10 - 6 = 4

Last term = 174

To find: No. of terms in the AP.

Since, we know that

an = a + (n - 1) × d

174 = 6 + (n - 1) × 4

174 - 6 = 4n - 4

168 = 4n - 4

168 + 4= 4n

4n = 172

n = 172/4

n = 43

Number of terms = 43.

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  Arithmetic progression: Previous Year NTSE Questions34 mins  Quiz on Arithmetic Progression Quiz32 mins  Become a Master of A.P. in 45 Minutes!!47 mins  Arithmetic Progression Tricks and QUIZ37 mins  Quiz | Group of Questions on General Term of an A.P49 mins  Get to Know About Geometric Progression41 mins  NCERT | Solving Questions on Introduction of A.P42 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 