Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
60 views
in Arithmetic Progression by (239k points)
closed by

The 7th term of an arithmetic progression is 19 and 13th term of  the same arithmetic progression is 28.Find the common difference of the arithmetic progression.


1. - 3/2
2. 3/4
3. 3/2
4. 3/5

1 Answer

0 votes
by (237k points)
selected by
 
Best answer
Correct Answer - Option 3 : 3/2

CONCEPT:

The nth term an of the AP with first term a and common difference d is given by an = a + (n – 1) d.

CALCULATION :

Let’s ‘a’ be the first term and ‘d’ be the common difference.

Given that 7th term of an Arithmetic Progression is 19, i.e., 7th term = 19

⇒ a + (7 - 1) d = 19

⇒ a + 6d = 19 . . . . . . . . . . . . . (i)

and 13th term of an Arithmetic Progression is 28

⇒ a + (13 - 1)d = 28

⇒ a + 12d = 28 . . . . . . . . . . . .  (ii)

Now, subtract the equation (i) from (ii) we get,

6d = 9

\(\rm\Rightarrow d=\rm\frac{3}{2} \)

Hence, option (3) is the correct answer.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...