#### Question

Determine the arithmetic progression whose 3rd term is 5 and 7th term is 9.

#### Solution

For an A.P

`t_3 = 5`

=> a + 2d = 5 ....(i)

And `t_7 = 9`

=> a + 6d = 9 ....(ii)

Substracting (i) from (ii) we get

4d = 4

=> d = 1

Substituting d = 1 in (i) we get

`a + 2 xx 1 = 5`

=> a = 3

Thus the required A.P = a, a + d, a + 2d. a + 3d, ...

= 3, 4, 5, 6, .....

Is there an error in this question or solution?

Solution Determine the Arithmetic Progression Whose 3rd Term is 5 and 7th Term is 9. Concept: Arithmetic Progression - Finding Sum of Their First ‘N’ Terms..