Question

Determine the A.P whose 3rd term is 5 and 7th term is 9.

Answer 1

Answer:

3 4 5 6 7 is AP

Step-by-step explanation:

3rd term = a +2d =5

7th term = a+ 6d = 9

by eliminating a we get

4d = 4

d =1

so AP is 3 , 4 ,5 ,6 .7 .8 .9

Answer 2

We have

$a_{3} = a + (3 - 1)d = a + 2d = 5$

$a_{7} = a + (7 - 1)d = a + 6d = 9$

Solving the pair of linear equations (1) and (2) ,we get

a= 3 , d= 1

☘︎Hence, the required answer A.P is 3,4,5,6,7☘︎