Q. 19 B4.3( 3 Votes )

# Which term of the A.P. 3, 15, 27, 39, ... will be 132 more than its 54th term?

Given: 3, 15, 27, 39, …

First we need to calculate 54th term.

We know that

an = a + (n – 1)d

Here, a = 3, d = 15 – 3 = 12 and n = 54

So, a54 = 3 + (54 – 1)12

a54 = 3 + 53 × 12

a54 = 3 + 636

a54 = 639

Now, the term is 132 more than a54 is 132 + 639 = 771

Now,

a + (n – 1)d = 771

3 + (n – 1)12 = 771

3 + 12n – 12 = 771

12n = 771 + 12 – 3

12n = 780

n = 65

Hence, the 65th term is 132 more than the 54th term.

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