In the following A.P., find the missing terms:

7, □,□,□,27

Here, a = 7, n = 5 and l = 27

We have,

l = a + (n – 1)d

⇒27 = 7 + (5 – 1)d

⇒27 = 7 + 4d

⇒20 = 4d

So, the missing terms are –

a₂ = a + d = 7 + 5 = 12

a₃ = a + 2d = 7 + 2(5) = 7 + 10 = 17

a₄ = a + 3d = 7 + 3(5) = 7 + 15 = 22

Hence, the missing terms are 12, 17 and 22