The question is given from NCERT Book of class 10th Ch. no. 5 Ex. 5.2 Q. 10. In the following question you have to find the common difference if 17th term of the A.P exceeds the 10th term by 7. Give the solution.
Deepak BoraNewbie
Find the common difference. If 17th term of an A.P exceeds its 10th term by 7.
Share
Solution:
For an A.P we know,
an = a + (n−1)d
a17 = a + (17−1)d
a17 = a + 16d
Like above,
a10 = a + 9d
Given in the above question,
a17 − a10 = 7
Hence,
(a + 16d)−(a + 9d) = 7
7d = 7
d = 1
So, the common difference is 1.