Question

If the 17th term of an AP exceeds the 10th term by 7, then the common difference is_____​

Answer 1

The common difference is 1.

Explanation:

17th term = a1 + 16d

10th term = a1 + 9d

So from the given information:

a1 + 16d - (a1 + 9d) = 7

a1 - a1 + 16d - 9d = 7

7d = 7

d = 1.

Answer 2

a17 = a10 + 7

a + 16d = a + 9d + 7

7d = 7

d = 1

Thus common difference =1