Question

4 and the 12th term of an ap of 14 and 17 respectively its common difference isthe 4th term and 12th term of an ap are 14 and 17 respectively its common difference is ​

Answer 1

the 4 and the 12th term of an ap of 14 and 17 respectively its common difference is given by,

Given

4th term of ap is 14

12th term of ap 17

Formula: an = a + (n - 1) d

a4 = a + (4 - 1)d

14 = a + 3d  ............(1)

a12 = a + (12 - 1)d

17 = a + 11d  ..........(2)

(2) - (1) gives,

11d - 3d = 17 - 14

8d = 3

d = 3/8

Therefore, the common difference is 3/8.