Answer:

if 'd' is an integer,  then third term is divisible by 3.

Step-by-step explanation:

      In an AP:   aₙ = a + (n - 1)d,      where a is first term and d is common difference.

     Let the first term and common difference of this AP be 'a' and 'd' respectively.

       According to the question:

⇒ 5 times a₃ = 3 times a₅

⇒ 5(a + 2d) = 3(a + 4d)

⇒ 5a + 10d = 3a + 12d

⇒ 5a - 3a = 12d - 10d

⇒ 2a = 2d

⇒ a = d

             Hence, a₃ = a + 2d

                               = d + 2d

                               = 3*d

Hence, if 'd' is an integer,  then third term is divisible by 3.