# The 17th term of an AP exceeds its 10th term by 7. Find the common difference.

To find: Common Difference, d
nth term of an AP is given by,
an = a + (n - 1) d
where,
a is the first term, n is the number of terms in an AP and d is the common difference
Tenth and seventeenth terms of this AP can be given as follows:

a10 = a + 9d

a17 = a + 16d
It is give that 17th term is 7 more than the tenth term, So

Subtracting 10th term from 17th term, we get;

a + 16d – a – 9d = 7

7d = 7

d = 1
Hence common difference of the A.P is 1

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  Smart Revision | Arithmetic Progression47 mins  Champ Quiz | Arithmetic Progression30 mins  Quiz | Arithmetic Progression44 mins  Smart Revision | General Term of an A.P44 mins  Lets Check Your Knowledge in A.P.49 mins  NCERT | Fundamental Theorem Of Arithmetic45 mins  Quiz on Arithmetic Progression Quiz32 mins  NCERT | Arithmetic Progression36 mins  Get to Know About Geometric Progression41 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 