Question

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

Answer 1

Answer: AP= 3,4,5,6,7,8,9......

Step-by-step explanation:

GIVEN

a3 = 5

a7 = 9

TO FIND

The AP

SOLUTION

a7 - a3   = 9-5

⇒ a+6d - (a+2d) = 4

⇒ 4d = 4

⇒ d= 1

If d = 1 then

a + 2d = 5

⇒ a + 2= 5

⇒ a = 3

Therefore, AP = 3,4,5,6,7,8,9.......