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

1.	The 17 th term of an AP exceeds its 10th term by 7. Find the common difference,
Answer» Let a be the first term and d the common difference. It is given a_{17} - a_{10} = 7 (a + 16d) - (a + 9d) = 7 7d = 7 d = 1 Thus, the common difference is 7. a 17 - a 10 = 7; a + 16d = a + 9d ; 7 16d - 9d =7; 7d = 7, d = 7/7=1

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

Answer»

Let a be the first term and d the common difference.

It is given a_{17} - a_{10} = 7

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

7d = 7 d = 1

Thus, the common difference is 7.

a 17 - a 10 = 7; a + 16d = a + 9d ; 7 16d - 9d =7; 7d = 7, d = 7/7=1