# Is 51 a term of the A.P. 5, 8, 11, 14, ...?

AP = 5, 8, 11, 14, …

Here, a = 5 and d = 8 – 5 = 3

Let 51 be a term, say, nth term of this AP.

We know that

an = a + (n – 1)d

So, 51 = 5 + (n – 1)(3)

51 = 5 + 3n – 3

51 = 2 + 3n

51 – 2 = 3n

49 = 3n But n should be a positive integer because n is the number of terms. So, 51 is not a term of this given AP.

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 